Abstract group data - 4096.brc

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '64.267', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 8, 'aut_gen_orders': [4, 4, 4, 8, 4, 4, 8, 8, 4], 'aut_gens': [[1, 43740029237366467685851225240675508881, 8718104464832911061957567148975530935, 18684501697116904686045519673583349120, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 36363783593844268326955552979947253094], [28492209290039175915274264770387075271, 32710470730108296561792396078592382815, 63813824039583973863258135959964037014, 103172683893206083241173860843177460849, 26387162590536868174762695924625937671, 1653341470320310370355995367137479134, 106215497928590664451066048620294657894], [28492209290039175915274264770387075271, 32710470730108296561792396078592382814, 87787341413556357580380739889634667128, 101067543549429811193926322322199966945, 2376674786731493176407713841824045521, 27645255029917774273442500874190485695, 39908358194424873950378955359887462974], [28492209290039175915274264770387075271, 4029804036190339443260695280021185494, 229421392729894135664290170775720173144, 83459337407698809674962683559464404814, 28492209158969451049120998915685402320, 6849899159225072373815360008443948769, 137292877076713284084768151227014001240], [1, 45853299214707406220077210005295072231, 61971837305194057511254600481940362191, 79824729473780396888661568829358162145, 74279958931965300511244872988563201, 147989912004223378640236283997082930681, 154839810983967459277900196266894814646], [1, 149568770157364645107912674540776960584, 87787447528180145149126167101934241374, 52639576685373226183789923417325327921, 28434649419298618365988378893273987271, 32973665582116916023488466839844059486, 154839810983967459277900196266894814646], [28492209290039175915274264770387075271, 152734837577062759360426439535808792974, 239151860267942892397229697272969511487, 258087112084528887018926237822597096767, 26387162590536868174762695924625937670, 104636439314045581675351657743883141200, 39908358194424873950378955359887462974], [28492209290039175915274264770387075271, 45968692919555086059806894186556169920, 176965653807500349507403109533305480870, 100804497602134555044194684842801838568, 28434649419298618365988378893273987271, 150440592337858304722081245135262690201, 137292877076713284084768151227014001240], [28492209290039175915274264770387075271, 41634914768681620203996592245350732670, 140485554377939885716598506233621131664, 262996333135363713084238426130646510528, 28492209158969451049120998915685402321, 150440592337858304722081245135262690201, 137556007823277401153666343709019989686], [28492209290039175915274264770387075271, 30013370504259296608446299084609799895, 87787447528180145149126167101934241375, 83459337407698809674962683559464404814, 174641361355935057342309483270, 33236796317017844036355521502885567889, 137292877076713284084768151227014001240]], 'aut_group': None, 'aut_hash': 508620040943044797, 'aut_nilpotency_class': 5, 'aut_nilpotent': True, 'aut_order': 8388608, 'aut_permdeg': 256, 'aut_perms': [380671374243834235683797090039845701163940139362945895557937561273436126580183194045652308561705074564040853032567039734441503621716742748098579679407624731160735588344258436866329131602170206304852354252237025776169419236387452839407099286597532734840794759199228361856598307787148393427280700995362198880920848429364743404180717863666796273714497977525850737663148881122919228915061444598650855912362240615763091885591986647685329747903605213922649842448802620771638732057345223897739950195385406299839572, 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312184646046087963742279840261612998842995610912449100856088046965377026217754813694081021075607074287521458051083384851032096274418526276338446501705505764870611670252949770486270490102940289085641208395421089488830878057098438783554254847824759499170286359688426533719989039072566430419588543453666036038529209095109499888076232711183923908153660653671588119261584300622369987617015974430779077238006981150902412145208117524106024501248538578651765106577146960024391785917775096135995347812067825657788107, 177240667919434366031578625735789106892686013817753256471383591231500557772082887701561238096444139438515274274005830357519266964006795792167551546929466452689118537200736389746288312358335601935398934358015972720562664410422366653420892864325398755291220992357144337815839769825438052948139459415907498984028459340780184859066875509873287724799337913763883867939093240878883718271065240373701779002089345779850127802862440842793600462698437752812230137371813289151575670157821859472127099087950827190111195], 'aut_phi_ratio': 4096.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 1, 2], [2, 2, 2, 2], [2, 4, 1, 4], [2, 4, 4, 3], [2, 8, 2, 3], [2, 8, 4, 2], [2, 16, 4, 1], [2, 16, 8, 2], [4, 8, 8, 1], [4, 16, 2, 4], [4, 16, 4, 3], [4, 16, 8, 2], [4, 32, 4, 3], [4, 32, 8, 4], [4, 64, 8, 1], [8, 64, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^{12}.C_2^6.C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 45958743261578691, 'autcent_nilpotent': True, 'autcent_order': 2048, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^9.C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 8, 'autcentquo_group': None, 'autcentquo_hash': 555363125849597859, 'autcentquo_nilpotent': True, 'autcentquo_order': 4096, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^6.C_2.C_2^5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 6], [2, 4, 16], [2, 8, 14], [2, 16, 20], [4, 8, 8], [4, 16, 36], [4, 32, 44], [4, 64, 8], [8, 64, 16]], 'center_label': '4.2', 'center_order': 4, 'central_product': None, 'central_quotient': None, 'commutator_count': 1, 'commutator_label': '64.60', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 12, 'conjugacy_classes_known': True, 'counter': 1121, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 6], [2, 4, 1, 16], [2, 8, 1, 14], [2, 16, 1, 20], [4, 8, 2, 4], [4, 16, 1, 28], [4, 16, 2, 4], [4, 32, 1, 44], [4, 64, 1, 8], [8, 64, 1, 16]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': None, 'exponent': 8, 'exponents_of_order': [12], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '64.60', 'frattini_quotient': '64.267', 'hash': 7304990901463706543, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 8, 'inner_gen_orders': [1, 4, 2, 2, 2, 2, 2], 'inner_gens': [[1, 43740029237366467685851225240675508881, 8718104464832911061957567148975530935, 18684501697116904686045519673583349120, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 36363783593844268326955552979947253094], [1, 43740029237366467685851225240675508881, 140411283424724675661949748324783486905, 18684501697116904686045519673583349120, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 109266171071627705118236816948458995774], [1, 3955533136859239840013585874911253505, 8718104464832911061957567148975530935, 18684501697116904686045519673583349120, 2376674786731493176407713841824045520, 1587284524683860695918115943059093694, 36363783593844268326955552979947253094], [1, 43740029237366467685851225240675508881, 8718104464832911061957567148975530935, 18684501697116904686045519673583349120, 74279958931965300511244872988563200, 147989911862264758418130172761591256614, 154839810983967459277900196266894814646], [1, 43740029237366467685851225240675508881, 87664096029803907670934183010395672455, 97120669641679219440363164510873627520, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 36363783593844268326955552979947253094], [1, 43740029237366467685851225240675508881, 61971837305194057511254600481940362191, 79824729473780396888661568829358162144, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 36363783593844268326955552979947253094], [1, 115589884214264379849799682069640511681, 8718104464832911061957567148975530935, 83459222449374721706196631979927386488, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 36363783593844268326955552979947253094]], 'inner_hash': 7895111986254978612, 'inner_nilpotent': True, 'inner_order': 1024, 'inner_split': None, 'inner_tex': 'C_2^4.C_2^5.C_2', 'inner_used': [2, 3, 4, 5, 6], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 64], [2, 48], [4, 32], [8, 20], [16, 8]], 'label': '4096.brc', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C2^5.(D4*C2^4)', 'ngens': 7, 'nilpotency_class': 5, 'nilpotent': True, 'normal_counts': [1, 3, 7, 19, 35, 75, 219, 547, 1011, 1443, 651, 63, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 41, 'number_characteristic_subgroups': 73, 'number_conjugacy_classes': 172, 'number_divisions': 164, 'number_normal_subgroups': 4075, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 4096, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 511], [4, 2560], [8, 1024]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [4, 4, 4, 4, 2, 4, 4], 'outer_gen_pows': [74280122668324423460508764963345670, 0, 0, 0, 26387162448578248006173980534073235200, 28434649277323891266849319588237613521, 0], 'outer_gens': [[28492209290039175915274264770387075271, 132202336286766660946094851926488115294, 174958945471607117692399776461374218270, 258095467946505204495994535336012732047, 28434649419298618365988378893273987270, 33171013607945745105424361290942931088, 154576680248663242051657935514776023640], [1, 111223181172119747144049542820577275390, 174958945471607117692399776461374218271, 275930592836428060443419153151661010215, 174641361355935057342309483270, 130623615193468759063769961811834162680, 137473514270438320421813576621981466720], [28492209290039175915274264770387075271, 132202336286766660946094851926488115294, 238551398527419728711802618067595697120, 167300610017267534394881968356682480566, 2376674786731493176407713841824045520, 37161398251669923697993443293061847681, 36363783593844268326955552979947253094], [1, 32644678786485069490514675751100083384, 62078999918113484534244944807994670711, 214231800053313695730294622911010196520, 26387162590536868174762695924625937671, 5007985723050921772190011836204439014, 109266171071627705118236816948458995774], [1, 45853299214707406220077210005295072231, 8849944359643151991111070029411140334, 97120669641679219440363164510873627521, 74279958931965300511244872988563200, 130623615073287877796024399077764568614, 137210383338731107674879066610961127606], [1, 111108061027550032772759424042828074040, 239077589238617976036473922734079620185, 273027585625292098834802104269482227615, 26321379727842876842894184943398912001, 27702815347166584608699844057731271135, 106215497928590664451066048620294657894], [28492209290039175915274264770387075271, 115696790100641901192286868270581698150, 87787341413556357580380739889634667128, 18684598960516290573255059078743908600, 26321379727842876842894184943398912001, 37161398251669923697993443293061847681, 106100378013111595289504715054925946334]], 'outer_group': None, 'outer_hash': 6646047294245924732, 'outer_nilpotent': True, 'outer_order': 8192, 'outer_permdeg': 512, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^7.C_2^6', 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 6, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 64], [2, 48], [4, 16], [8, 28], [16, 8]], 'representations': {'PC': {'code': '11632259495833185141200357647004331728746258253459406107627717673622536065416907836915421850125361838555546912827226333103836441684449422', 'gens': [1, 2, 4, 6, 7, 8, 10, 11, 12], 'pres': [12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 529, 61, 722, 170, 591, 135, 94469, 47249, 37469, 18761, 91398, 45714, 44382, 22218, 110599, 56083, 52255, 26155, 1219, 655, 283, 184329, 156501, 46113, 53805, 5817, 2949, 202774, 42274, 21166, 331787, 165911]}, 'Perm': {'d': 34, 'gens': [1, 43740029237366467685851225240675508881, 8718104464832911061957567148975530935, 18684501697116904686045519673583349120, 26321379727842876842894184943398912000, 35048128702608359367206639339395083600, 36363783593844268326955552979947253094]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2, 2], 'solvability_type': 5, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 4, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^5.(D_4\\times C_2^4)', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 161690592
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 1121, 'group_order': 4096, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
  • id: 161690676
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 1121, 'group_order': 4096, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 1, 'size': 1}
  • id: 161690687
    {'aut_label': '2A', 'centralizer': None, 'counter': 3, 'group_counter': 1121, 'group_order': 4096, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 28492209290039175915274264770387075271, 'size': 1}
  • id: 161690698
    {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 1121, 'group_order': 4096, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 28492209290039175915274264770387075270, 'size': 1}
  • id: 161690709
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 1121, 'group_order': 4096, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 74280122668324423460508764963345671, 'size': 2}
  • id: 161690720
    {'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 1121, 'group_order': 4096, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 2376674950483959229907321648282499271, 'size': 2}
  • id: 161690731
    {'aut_label': '2E', 'centralizer': None, 'counter': 7, 'group_counter': 1121, 'group_order': 4096, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 2442731906573647095910842451586074321, 'size': 2}
  • id: 161690742
    {'aut_label': '2G', 'centralizer': None, 'counter': 8, 'group_counter': 1121, 'group_order': 4096, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 2376674950483959229907321648282499270, 'size': 2}
  • id: 161690753
    {'aut_label': '2G', 'centralizer': None, 'counter': 9, 'group_counter': 1121, 'group_order': 4096, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 26321379880706499244468693784286315270, 'size': 2}
  • id: 161690593
    {'aut_label': '2I', 'centralizer': None, 'counter': 10, 'group_counter': 1121, 'group_order': 4096, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 74280122668324423460508764963345670, 'size': 2}
  • id: 161690604
    {'aut_label': '2J', 'centralizer': None, 'counter': 11, 'group_counter': 1121, 'group_order': 4096, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 174641361355935057342309483270, 'size': 4}
  • id: 161690615
    {'aut_label': '2J', 'centralizer': None, 'counter': 12, 'group_counter': 1121, 'group_order': 4096, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 174641361355935057342309483271, 'size': 4}
  • id: 161690626
    {'aut_label': '2L', 'centralizer': None, 'counter': 13, 'group_counter': 1121, 'group_order': 4096, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 71055350563404538702237888921950, 'size': 4}
  • id: 161690637
    {'aut_label': '2L', 'centralizer': None, 'counter': 14, 'group_counter': 1121, 'group_order': 4096, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 71055350563404538702237888921951, 'size': 4}
  • id: 161690648
    {'aut_label': '2N', 'centralizer': None, 'counter': 15, 'group_counter': 1121, 'group_order': 4096, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 74342324559525133907797064680021344, 'size': 4}
  • id: 161690659
    {'aut_label': '2N', 'centralizer': None, 'counter': 16, 'group_counter': 1121, 'group_order': 4096, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 74342324559525133907797064680021345, 'size': 4}
  • id: 161690670
    {'aut_label': '2J', 'centralizer': None, 'counter': 17, 'group_counter': 1121, 'group_order': 4096, 'label': '2P', 'order': 2, 'powers': [1], 'representative': 2442732059421110916424656807709827270, 'size': 4}
  • id: 161690674
    {'aut_label': '2J', 'centralizer': None, 'counter': 18, 'group_counter': 1121, 'group_order': 4096, 'label': '2Q', 'order': 2, 'powers': [1], 'representative': 2442732059421110916424656807709827271, 'size': 4}
  • id: 161690675
    {'aut_label': '2L', 'centralizer': None, 'counter': 19, 'group_counter': 1121, 'group_order': 4096, 'label': '2R', 'order': 2, 'powers': [1], 'representative': 47432357411579268981925024716632795046, 'size': 4}
  • id: 161690677
    {'aut_label': '2L', 'centralizer': None, 'counter': 20, 'group_counter': 1121, 'group_order': 4096, 'label': '2S', 'order': 2, 'powers': [1], 'representative': 47432357411579268981925024716632795047, 'size': 4}
  • id: 161690678
    {'aut_label': '2T', 'centralizer': None, 'counter': 21, 'group_counter': 1121, 'group_order': 4096, 'label': '2T', 'order': 2, 'powers': [1], 'representative': 47432366253620463326252359853583907249, 'size': 4}
  • id: 161690679
    {'aut_label': '2N', 'centralizer': None, 'counter': 22, 'group_counter': 1121, 'group_order': 4096, 'label': '2U', 'order': 2, 'powers': [1], 'representative': 47547751345659083150321458368812658648, 'size': 4}
  • id: 161690680
    {'aut_label': '2N', 'centralizer': None, 'counter': 23, 'group_counter': 1121, 'group_order': 4096, 'label': '2V', 'order': 2, 'powers': [1], 'representative': 47547751345659083150321458368812658649, 'size': 4}
  • id: 161690681
    {'aut_label': '2W', 'centralizer': None, 'counter': 24, 'group_counter': 1121, 'group_order': 4096, 'label': '2W', 'order': 2, 'powers': [1], 'representative': 50063683562719037581276673094613139665, 'size': 4}
  • id: 161690682
    {'aut_label': '2X', 'centralizer': None, 'counter': 25, 'group_counter': 1121, 'group_order': 4096, 'label': '2X', 'order': 2, 'powers': [1], 'representative': 50063683562719037581276673094613139664, 'size': 4}
  • id: 161690683
    {'aut_label': '2Y', 'centralizer': None, 'counter': 26, 'group_counter': 1121, 'group_order': 4096, 'label': '2Y', 'order': 2, 'powers': [1], 'representative': 119536838978336827083071435420347703088, 'size': 4}
  • id: 161690684
    {'aut_label': '2Z', 'centralizer': None, 'counter': 27, 'group_counter': 1121, 'group_order': 4096, 'label': '2Z', 'order': 2, 'powers': [1], 'representative': 71219087544048799458808261596384, 'size': 8}
  • id: 161690685
    {'aut_label': '2Z', 'centralizer': None, 'counter': 28, 'group_counter': 1121, 'group_order': 4096, 'label': '2AA', 'order': 2, 'powers': [1], 'representative': 71219087544048799458808261596385, 'size': 8}
  • id: 161690686
    {'aut_label': '2AB', 'centralizer': None, 'counter': 29, 'group_counter': 1121, 'group_order': 4096, 'label': '2AB', 'order': 2, 'powers': [1], 'representative': 36363783593844268326955552979947253095, 'size': 8}
  • id: 161690688
    {'aut_label': '2AC', 'centralizer': None, 'counter': 30, 'group_counter': 1121, 'group_order': 4096, 'label': '2AC', 'order': 2, 'powers': [1], 'representative': 36363783735399598158411963280914554334, 'size': 8}
  • id: 161690689
    {'aut_label': '2AC', 'centralizer': None, 'counter': 31, 'group_counter': 1121, 'group_order': 4096, 'label': '2AD', 'order': 2, 'powers': [1], 'representative': 36363783735399598158411963280914554335, 'size': 8}
  • id: 161690690
    {'aut_label': '2AC', 'centralizer': None, 'counter': 32, 'group_counter': 1121, 'group_order': 4096, 'label': '2AE', 'order': 2, 'powers': [1], 'representative': 39792972884112505220581085851465203774, 'size': 8}
  • id: 161690691
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  • id: 161690692
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  • id: 161690693
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  • id: 161690694
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  • id: 161690695
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  • id: 161690696
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  • id: 161690697
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  • id: 161690699
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  • id: 161690700
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  • id: 161690701
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  • id: 161690702
    {'aut_label': '2AN', 'centralizer': None, 'counter': 43, 'group_counter': 1121, 'group_order': 4096, 'label': '2AP', 'order': 2, 'powers': [1], 'representative': 1587284666239189403373797246365351134, 'size': 16}
  • id: 161690703
    {'aut_label': '2AN', 'centralizer': None, 'counter': 44, 'group_counter': 1121, 'group_order': 4096, 'label': '2AQ', 'order': 2, 'powers': [1], 'representative': 1587284666239189403373797246365351135, 'size': 16}
  • id: 161690704
    {'aut_label': '2AN', 'centralizer': None, 'counter': 45, 'group_counter': 1121, 'group_order': 4096, 'label': '2AR', 'order': 2, 'powers': [1], 'representative': 1653341328748850004333601077832085694, 'size': 16}
  • id: 161690705
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  • id: 161690706
    {'aut_label': '2AN', 'centralizer': None, 'counter': 47, 'group_counter': 1121, 'group_order': 4096, 'label': '2AT', 'order': 2, 'powers': [1], 'representative': 1653341470320310370355995367137479134, 'size': 16}
  • id: 161690707
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  • id: 161690708
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  • id: 161690710
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  • id: 161690711
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  • id: 161690712
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  • id: 161690713
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  • id: 161690714
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  • id: 161690715
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  • id: 161690716
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  • id: 161690717
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  • id: 161690718
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  • id: 161690719
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  • id: 161690721
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  • id: 161690722
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  • id: 161690723
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  • id: 161690724
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  • id: 161690725
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  • id: 161690726
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  • id: 161690727
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  • id: 161690728
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  • id: 161690729
    {'aut_label': '4A1', 'centralizer': None, 'counter': 68, 'group_counter': 1121, 'group_order': 4096, 'label': '4D-1', 'order': 4, 'powers': [9], 'representative': 41898045511245085980956741224296391681, 'size': 8}
  • id: 161690730
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  • id: 161690732
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  • id: 161690733
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  • id: 161690734
    {'aut_label': '4H', 'centralizer': None, 'counter': 72, 'group_counter': 1121, 'group_order': 4096, 'label': '4H', 'order': 4, 'powers': [8], 'representative': 3955533235263002655445485421263111894, 'size': 16}
  • id: 161690735
    {'aut_label': '4H', 'centralizer': None, 'counter': 73, 'group_counter': 1121, 'group_order': 4096, 'label': '4I', 'order': 4, 'powers': [8], 'representative': 3955533235263002655445485421263111895, 'size': 16}
  • id: 161690736
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  • id: 161690737
    {'aut_label': '4J', 'centralizer': None, 'counter': 75, 'group_counter': 1121, 'group_order': 4096, 'label': '4K', 'order': 4, 'powers': [4], 'representative': 9244366206049972130436933647376404575, 'size': 16}
  • id: 161690738
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  • id: 161690739
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  • id: 161690740
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  • id: 161690741
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  • id: 161690743
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  • id: 161690744
    {'aut_label': '4N', 'centralizer': None, 'counter': 81, 'group_counter': 1121, 'group_order': 4096, 'label': '4Q', 'order': 4, 'powers': [4], 'representative': 18701044703191987783137419190486357265, 'size': 16}
  • id: 161690745
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  • id: 161690746
    {'aut_label': '4R', 'centralizer': None, 'counter': 83, 'group_counter': 1121, 'group_order': 4096, 'label': '4S', 'order': 4, 'powers': [4], 'representative': 36363810121643065574041485852148949791, 'size': 16}
  • id: 161690747
    {'aut_label': '4T', 'centralizer': None, 'counter': 84, 'group_counter': 1121, 'group_order': 4096, 'label': '4T', 'order': 4, 'powers': [4], 'representative': 36363810263198395405619524420446367968, 'size': 16}
  • id: 161690748
    {'aut_label': '4T', 'centralizer': None, 'counter': 85, 'group_counter': 1121, 'group_order': 4096, 'label': '4U', 'order': 4, 'powers': [4], 'representative': 36363810263198395405619524420446367969, 'size': 16}
  • id: 161690749
    {'aut_label': '4G', 'centralizer': None, 'counter': 86, 'group_counter': 1121, 'group_order': 4096, 'label': '4V', 'order': 4, 'powers': [9], 'representative': 41634888149118478592996288318894577169, 'size': 16}
  • id: 161690750
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  • id: 161690751
    {'aut_label': '4E', 'centralizer': None, 'counter': 88, 'group_counter': 1121, 'group_order': 4096, 'label': '4X', 'order': 4, 'powers': [9], 'representative': 41634888247522242532307259994311820087, 'size': 16}
  • id: 161690752
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  • id: 161690754
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  • id: 161690755
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  • id: 161690756
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  • id: 161690757
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  • id: 161690758
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  • id: 161690759
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  • id: 161690760
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  • id: 161690761
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  • id: 161690762
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 98, 'group_counter': 1121, 'group_order': 4096, 'label': '4AG-1', 'order': 4, 'powers': [25], 'representative': 11884174700922764365223515720252362480, 'size': 16}
  • id: 161690763
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 99, 'group_counter': 1121, 'group_order': 4096, 'label': '4AH1', 'order': 4, 'powers': [25], 'representative': 9770630920136427806414749496421890809, 'size': 16}
  • id: 161690594
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 100, 'group_counter': 1121, 'group_order': 4096, 'label': '4AH-1', 'order': 4, 'powers': [25], 'representative': 11884174700922764365223515720252362481, 'size': 16}
  • id: 161690595
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 101, 'group_counter': 1121, 'group_order': 4096, 'label': '4AI1', 'order': 4, 'powers': [25], 'representative': 9770737031594711230830609091472429184, 'size': 16}
  • id: 161690596
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 102, 'group_counter': 1121, 'group_order': 4096, 'label': '4AI-1', 'order': 4, 'powers': [25], 'representative': 11884271961358835755705313249118526248, 'size': 16}
  • id: 161690597
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  • id: 161690598
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 104, 'group_counter': 1121, 'group_order': 4096, 'label': '4AJ-1', 'order': 4, 'powers': [25], 'representative': 11884271961358835755705313249118526249, 'size': 16}
  • id: 161690599
    {'aut_label': '4AK', 'centralizer': None, 'counter': 105, 'group_counter': 1121, 'group_order': 4096, 'label': '4AK', 'order': 4, 'powers': [8], 'representative': 1587346419641100717724024727565059910, 'size': 32}
  • id: 161690600
    {'aut_label': '4AK', 'centralizer': None, 'counter': 106, 'group_counter': 1121, 'group_order': 4096, 'label': '4AL', 'order': 4, 'powers': [8], 'representative': 1587346419641100717724024727565059911, 'size': 32}
  • id: 161690601
    {'aut_label': '4AK', 'centralizer': None, 'counter': 107, 'group_counter': 1121, 'group_order': 4096, 'label': '4AM', 'order': 4, 'powers': [8], 'representative': 1587346561211940635344665196560801888, 'size': 32}
  • id: 161690602
    {'aut_label': '4AK', 'centralizer': None, 'counter': 108, 'group_counter': 1121, 'group_order': 4096, 'label': '4AN', 'order': 4, 'powers': [8], 'representative': 1587346561211940635344665196560801889, 'size': 32}
  • id: 161690603
    {'aut_label': '4AO', 'centralizer': None, 'counter': 109, 'group_counter': 1121, 'group_order': 4096, 'label': '4AO', 'order': 4, 'powers': [10], 'representative': 8718104530569445077611391228438711534, 'size': 32}
  • id: 161690605
    {'aut_label': '4AO', 'centralizer': None, 'counter': 110, 'group_counter': 1121, 'group_order': 4096, 'label': '4AP', 'order': 4, 'powers': [10], 'representative': 8718104530569445077611391228438711535, 'size': 32}
  • id: 161690606
    {'aut_label': '4AO', 'centralizer': None, 'counter': 111, 'group_counter': 1121, 'group_order': 4096, 'label': '4AQ', 'order': 4, 'powers': [10], 'representative': 8718210949709308270433269296131885688, 'size': 32}
  • id: 161690607
    {'aut_label': '4AO', 'centralizer': None, 'counter': 112, 'group_counter': 1121, 'group_order': 4096, 'label': '4AR', 'order': 4, 'powers': [10], 'representative': 8718210949709308270433269296131885689, 'size': 32}
  • id: 161690608
    {'aut_label': '4AS', 'centralizer': None, 'counter': 113, 'group_counter': 1121, 'group_order': 4096, 'label': '4AS', 'order': 4, 'powers': [25], 'representative': 9770631072983918603061235402582754160, 'size': 32}
  • id: 161690609
    {'aut_label': '4AS', 'centralizer': None, 'counter': 114, 'group_counter': 1121, 'group_order': 4096, 'label': '4AT', 'order': 4, 'powers': [25], 'representative': 9770631072983918603061235402582754161, 'size': 32}
  • id: 161690610
    {'aut_label': '4AS', 'centralizer': None, 'counter': 115, 'group_counter': 1121, 'group_order': 4096, 'label': '4AU', 'order': 4, 'powers': [25], 'representative': 9770737173568843735889499801352281168, 'size': 32}
  • id: 161690611
    {'aut_label': '4AS', 'centralizer': None, 'counter': 116, 'group_counter': 1121, 'group_order': 4096, 'label': '4AV', 'order': 4, 'powers': [25], 'representative': 9770737173568843735889499801352281169, 'size': 32}
  • id: 161690612
    {'aut_label': '4AW', 'centralizer': None, 'counter': 117, 'group_counter': 1121, 'group_order': 4096, 'label': '4AW', 'order': 4, 'powers': [8], 'representative': 18684501762450742961079758982451816560, 'size': 32}
  • id: 161690613
    {'aut_label': '4AW', 'centralizer': None, 'counter': 118, 'group_counter': 1121, 'group_order': 4096, 'label': '4AX', 'order': 4, 'powers': [8], 'representative': 18684501762450742961079758982451816561, 'size': 32}
  • id: 161690614
    {'aut_label': '4AW', 'centralizer': None, 'counter': 119, 'group_counter': 1121, 'group_order': 4096, 'label': '4AY', 'order': 4, 'powers': [8], 'representative': 18684599025850128848174036213839084944, 'size': 32}
  • id: 161690616
    {'aut_label': '4AW', 'centralizer': None, 'counter': 120, 'group_counter': 1121, 'group_order': 4096, 'label': '4AZ', 'order': 4, 'powers': [8], 'representative': 18684599025850128848174036213839084945, 'size': 32}
  • id: 161690617
    {'aut_label': '4BA', 'centralizer': None, 'counter': 121, 'group_counter': 1121, 'group_order': 4096, 'label': '4BA', 'order': 4, 'powers': [10], 'representative': 38740449259027707857588085220474595448, 'size': 32}
  • id: 161690618
    {'aut_label': '4BA', 'centralizer': None, 'counter': 122, 'group_counter': 1121, 'group_order': 4096, 'label': '4BB', 'order': 4, 'powers': [10], 'representative': 38740449259027707857588085220474595449, 'size': 32}
  • id: 161690619
    {'aut_label': '4BA', 'centralizer': None, 'counter': 123, 'group_counter': 1121, 'group_order': 4096, 'label': '4BC', 'order': 4, 'powers': [10], 'representative': 38740449357431471796899054280143282640, 'size': 32}
  • id: 161690620
    {'aut_label': '4BA', 'centralizer': None, 'counter': 124, 'group_counter': 1121, 'group_order': 4096, 'label': '4BD', 'order': 4, 'powers': [10], 'representative': 38740449357431471796899054280143282641, 'size': 32}
  • id: 161690621
    {'aut_label': '4AK', 'centralizer': None, 'counter': 125, 'group_counter': 1121, 'group_order': 4096, 'label': '4BE', 'order': 4, 'powers': [9], 'representative': 38740475783817330254066700962401524024, 'size': 32}
  • id: 161690622
    {'aut_label': '4AK', 'centralizer': None, 'counter': 126, 'group_counter': 1121, 'group_order': 4096, 'label': '4BF', 'order': 4, 'powers': [9], 'representative': 38740475783817330254066700962401524025, 'size': 32}
  • id: 161690623
    {'aut_label': '4AK', 'centralizer': None, 'counter': 127, 'group_counter': 1121, 'group_order': 4096, 'label': '4BG', 'order': 4, 'powers': [9], 'representative': 38740475882221094193499327064943265374, 'size': 32}
  • id: 161690624
    {'aut_label': '4AK', 'centralizer': None, 'counter': 128, 'group_counter': 1121, 'group_order': 4096, 'label': '4BH', 'order': 4, 'powers': [9], 'representative': 38740475882221094193499327064943265375, 'size': 32}
  • id: 161690625
    {'aut_label': '4AW', 'centralizer': None, 'counter': 129, 'group_counter': 1121, 'group_order': 4096, 'label': '4BI', 'order': 4, 'powers': [9], 'representative': 52639576696262095634208274533390838560, 'size': 32}
  • id: 161690627
    {'aut_label': '4AW', 'centralizer': None, 'counter': 130, 'group_counter': 1121, 'group_order': 4096, 'label': '4BJ', 'order': 4, 'powers': [9], 'representative': 52639576696262095634208274533390838561, 'size': 32}
  • id: 161690628
    {'aut_label': '4AW', 'centralizer': None, 'counter': 131, 'group_counter': 1121, 'group_order': 4096, 'label': '4BK', 'order': 4, 'powers': [9], 'representative': 52639656580638627247389477931191317184, 'size': 32}
  • id: 161690629
    {'aut_label': '4AW', 'centralizer': None, 'counter': 132, 'group_counter': 1121, 'group_order': 4096, 'label': '4BL', 'order': 4, 'powers': [9], 'representative': 52639656580638627247389477931191317185, 'size': 32}
  • id: 161690630
    {'aut_label': '4BM', 'centralizer': None, 'counter': 133, 'group_counter': 1121, 'group_order': 4096, 'label': '4BM', 'order': 4, 'powers': [25], 'representative': 54218364187626385781807014558764947688, 'size': 32}
  • id: 161690631
    {'aut_label': '4BM', 'centralizer': None, 'counter': 134, 'group_counter': 1121, 'group_order': 4096, 'label': '4BN', 'order': 4, 'powers': [25], 'representative': 54218364187626385781807014558764947689, 'size': 32}
  • id: 161690632
    {'aut_label': '4BO', 'centralizer': None, 'counter': 135, 'group_counter': 1121, 'group_order': 4096, 'label': '4BO', 'order': 4, 'powers': [26], 'representative': 54218364253362895069566460241372317368, 'size': 32}
  • id: 161690633
    {'aut_label': '4BO', 'centralizer': None, 'counter': 136, 'group_counter': 1121, 'group_order': 4096, 'label': '4BP', 'order': 4, 'powers': [26], 'representative': 54218364253362895069566460241372317369, 'size': 32}
  • id: 161690634
    {'aut_label': '4BM', 'centralizer': None, 'counter': 137, 'group_counter': 1121, 'group_order': 4096, 'label': '4BQ', 'order': 4, 'powers': [25], 'representative': 54218443768758788077594604972355208848, 'size': 32}
  • id: 161690635
    {'aut_label': '4BM', 'centralizer': None, 'counter': 138, 'group_counter': 1121, 'group_order': 4096, 'label': '4BR', 'order': 4, 'powers': [25], 'representative': 54218443768758788077594604972355208849, 'size': 32}
  • id: 161690636
    {'aut_label': '4BO', 'centralizer': None, 'counter': 139, 'group_counter': 1121, 'group_order': 4096, 'label': '4BS', 'order': 4, 'powers': [26], 'representative': 54218443834092005904105806818509559008, 'size': 32}
  • id: 161690638
    {'aut_label': '4BO', 'centralizer': None, 'counter': 140, 'group_counter': 1121, 'group_order': 4096, 'label': '4BT', 'order': 4, 'powers': [26], 'representative': 54218443834092005904105806818509559009, 'size': 32}
  • id: 161690639
    {'aut_label': '4BO', 'centralizer': None, 'counter': 141, 'group_counter': 1121, 'group_order': 4096, 'label': '4BU', 'order': 4, 'powers': [26], 'representative': 73978026907738594244401095812164532886, 'size': 32}
  • id: 161690640
    {'aut_label': '4BO', 'centralizer': None, 'counter': 142, 'group_counter': 1121, 'group_order': 4096, 'label': '4BV', 'order': 4, 'powers': [26], 'representative': 73978026907738594244401095812164532887, 'size': 32}
  • id: 161690641
    {'aut_label': '4BM', 'centralizer': None, 'counter': 143, 'group_counter': 1121, 'group_order': 4096, 'label': '4BW', 'order': 4, 'powers': [25], 'representative': 73978027005739040870575488608434871646, 'size': 32}
  • id: 161690642
    {'aut_label': '4BM', 'centralizer': None, 'counter': 144, 'group_counter': 1121, 'group_order': 4096, 'label': '4BX', 'order': 4, 'powers': [25], 'representative': 73978027005739040870575488608434871647, 'size': 32}
  • id: 161690643
    {'aut_label': '4BO', 'centralizer': None, 'counter': 145, 'group_counter': 1121, 'group_order': 4096, 'label': '4BY', 'order': 4, 'powers': [26], 'representative': 73978142158852878763058509407925518006, 'size': 32}
  • id: 161690644
    {'aut_label': '4BO', 'centralizer': None, 'counter': 146, 'group_counter': 1121, 'group_order': 4096, 'label': '4BZ', 'order': 4, 'powers': [26], 'representative': 73978142158852878763058509407925518007, 'size': 32}
  • id: 161690645
    {'aut_label': '4BM', 'centralizer': None, 'counter': 147, 'group_counter': 1121, 'group_order': 4096, 'label': '4CA', 'order': 4, 'powers': [25], 'representative': 73978142267757706100779137609176601966, 'size': 32}
  • id: 161690646
    {'aut_label': '4BM', 'centralizer': None, 'counter': 148, 'group_counter': 1121, 'group_order': 4096, 'label': '4CB', 'order': 4, 'powers': [25], 'representative': 73978142267757706100779137609176601967, 'size': 32}
  • id: 161690647
    {'aut_label': '4CC', 'centralizer': None, 'counter': 149, 'group_counter': 1121, 'group_order': 4096, 'label': '4CC', 'order': 4, 'powers': [39], 'representative': 9507500067685886191609439767212474150, 'size': 64}
  • id: 161690649
    {'aut_label': '4CC', 'centralizer': None, 'counter': 150, 'group_counter': 1121, 'group_order': 4096, 'label': '4CD', 'order': 4, 'powers': [39], 'representative': 9507500067685886191609439767212474151, 'size': 64}
  • id: 161690650
    {'aut_label': '4CC', 'centralizer': None, 'counter': 151, 'group_counter': 1121, 'group_order': 4096, 'label': '4CE', 'order': 4, 'powers': [39], 'representative': 9507500220146217185574752943199953870, 'size': 64}
  • id: 161690651
    {'aut_label': '4CC', 'centralizer': None, 'counter': 152, 'group_counter': 1121, 'group_order': 4096, 'label': '4CF', 'order': 4, 'powers': [39], 'representative': 9507500220146217185574752943199953871, 'size': 64}
  • id: 161690652
    {'aut_label': '4CC', 'centralizer': None, 'counter': 153, 'group_counter': 1121, 'group_order': 4096, 'label': '4CG', 'order': 4, 'powers': [40], 'representative': 9507606180712044977774057933555596230, 'size': 64}
  • id: 161690653
    {'aut_label': '4CC', 'centralizer': None, 'counter': 154, 'group_counter': 1121, 'group_order': 4096, 'label': '4CH', 'order': 4, 'powers': [40], 'representative': 9507606180712044977774057933555596231, 'size': 64}
  • id: 161690654
    {'aut_label': '4CC', 'centralizer': None, 'counter': 155, 'group_counter': 1121, 'group_order': 4096, 'label': '4CI', 'order': 4, 'powers': [40], 'representative': 9507606322267995260065089090052376214, 'size': 64}
  • id: 161690655
    {'aut_label': '4CC', 'centralizer': None, 'counter': 156, 'group_counter': 1121, 'group_order': 4096, 'label': '4CJ', 'order': 4, 'powers': [40], 'representative': 9507606322267995260065089090052376215, 'size': 64}
  • id: 161690656
    {'aut_label': '8A', 'centralizer': None, 'counter': 157, 'group_counter': 1121, 'group_order': 4096, 'label': '8A', 'order': 8, 'powers': [95], 'representative': 21842346195070753091041581960259058406, 'size': 64}
  • id: 161690657
    {'aut_label': '8A', 'centralizer': None, 'counter': 158, 'group_counter': 1121, 'group_order': 4096, 'label': '8B', 'order': 8, 'powers': [95], 'representative': 21842346195070753091041581960259058407, 'size': 64}
  • id: 161690658
    {'aut_label': '8A', 'centralizer': None, 'counter': 159, 'group_counter': 1121, 'group_order': 4096, 'label': '8C', 'order': 8, 'powers': [95], 'representative': 21842346293086709803252188668858447886, 'size': 64}
  • id: 161690660
    {'aut_label': '8A', 'centralizer': None, 'counter': 160, 'group_counter': 1121, 'group_order': 4096, 'label': '8D', 'order': 8, 'powers': [95], 'representative': 21842346293086709803252188668858447887, 'size': 64}
  • id: 161690661
    {'aut_label': '8A', 'centralizer': None, 'counter': 161, 'group_counter': 1121, 'group_order': 4096, 'label': '8E', 'order': 8, 'powers': [95], 'representative': 21842434616366846913690073933554897726, 'size': 64}
  • id: 161690662
    {'aut_label': '8A', 'centralizer': None, 'counter': 162, 'group_counter': 1121, 'group_order': 4096, 'label': '8F', 'order': 8, 'powers': [95], 'representative': 21842434616366846913690073933554897727, 'size': 64}
  • id: 161690663
    {'aut_label': '8A', 'centralizer': None, 'counter': 163, 'group_counter': 1121, 'group_order': 4096, 'label': '8G', 'order': 8, 'powers': [95], 'representative': 21842434725271673127538009988520445926, 'size': 64}
  • id: 161690664
    {'aut_label': '8A', 'centralizer': None, 'counter': 164, 'group_counter': 1121, 'group_order': 4096, 'label': '8H', 'order': 8, 'powers': [95], 'representative': 21842434725271673127538009988520445927, 'size': 64}
  • id: 161690665
    {'aut_label': '8A', 'centralizer': None, 'counter': 165, 'group_counter': 1121, 'group_order': 4096, 'label': '8I', 'order': 8, 'powers': [96], 'representative': 53955230900680882501272779390301149286, 'size': 64}
  • id: 161690666
    {'aut_label': '8A', 'centralizer': None, 'counter': 166, 'group_counter': 1121, 'group_order': 4096, 'label': '8J', 'order': 8, 'powers': [96], 'representative': 53955230900680882501272779390301149287, 'size': 64}
  • id: 161690667
    {'aut_label': '8A', 'centralizer': None, 'counter': 167, 'group_counter': 1121, 'group_order': 4096, 'label': '8K', 'order': 8, 'powers': [96], 'representative': 53955230966417391789031868428396039566, 'size': 64}
  • id: 161690668
    {'aut_label': '8A', 'centralizer': None, 'counter': 168, 'group_counter': 1121, 'group_order': 4096, 'label': '8L', 'order': 8, 'powers': [96], 'representative': 53955230966417391789031868428396039567, 'size': 64}
  • id: 161690669
    {'aut_label': '8A', 'centralizer': None, 'counter': 169, 'group_counter': 1121, 'group_order': 4096, 'label': '8M', 'order': 8, 'powers': [96], 'representative': 53955310786701655309397913454218625086, 'size': 64}
  • id: 161690671
    {'aut_label': '8A', 'centralizer': None, 'counter': 170, 'group_counter': 1121, 'group_order': 4096, 'label': '8N', 'order': 8, 'powers': [96], 'representative': 53955310786701655309397913454218625087, 'size': 64}
  • id: 161690672
    {'aut_label': '8A', 'centralizer': None, 'counter': 171, 'group_counter': 1121, 'group_order': 4096, 'label': '8O', 'order': 8, 'powers': [96], 'representative': 53955310852034873135908760573782176486, 'size': 64}
  • id: 161690673
    {'aut_label': '8A', 'centralizer': None, 'counter': 172, 'group_counter': 1121, 'group_order': 4096, 'label': '8P', 'order': 8, 'powers': [96], 'representative': 53955310852034873135908760573782176487, 'size': 64}
• group 4096.brc does not appear in gps_qchar
• group 4096.brc does not appear in gps_char
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 211331129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '4096.brc.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brc', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.(D_4\\times C_2^4)', 'supersolvable': True, 'sylow': 2}
  • id: 211332240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.L', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.M', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.N', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.O', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.P', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.Q', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.R', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.S', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.T', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.U', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.V', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.W', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.X', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.Y', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.Z', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BA', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BB', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BC', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BD', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BE', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BF', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.crw', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': '(D_4\\times C_2^5).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BG', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.crw', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': '(D_4\\times C_2^5).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BH', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BI', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BJ', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BK', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BL', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BM', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BN', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BO', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BP', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BQ', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BR', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BS', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BT', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BU', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BV', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BW', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BX', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BY', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.BZ', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CA', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CB', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CC', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CD', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CE', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CF', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CG', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CH', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CI', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CJ', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.2._.CK', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211333985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.RZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.SZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.TZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.US', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.US', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.UZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.VZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.VZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.WZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.WZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.XZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.XZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.YZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.YZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ZA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ddy', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211334986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.ZZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ZZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BAZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BAZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BBZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BBZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.4._.BCS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.BCS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6339029', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6338987', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359063', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359063', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6278060', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493140', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6339029', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6338987', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211335119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359063', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359063', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211335126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6278060', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493140', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211335128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211335252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211335268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211335270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211335296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211335299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58658', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.RZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58538', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211331455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.SZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.TZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58587', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58562', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211331509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.US', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.US', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58392', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.58326', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211331526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.UZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.VZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.VZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.WZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.WZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.XZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.XZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.YZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.YZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.ZZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ZZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BAZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BAZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BBZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BBZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BCZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BCZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BDZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BDZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57589', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BEZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BEZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BFZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BFZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56753', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173997', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211331872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BGZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BGZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211331877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211331881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BHZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BHZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BII', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BII', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BIZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BIZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392277', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.393287', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392235', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BJZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211331988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BKZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BKZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211331999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BLZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BLZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57454', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57362', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BMZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BMZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421141', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BNZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BNZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538654', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344822', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538654', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344822', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538654', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538654', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344822', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344822', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BOZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BOZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BPZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BPZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391511', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391473', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BQZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391431', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.391345', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387442', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387442', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BRZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BRZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6339029', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6338987', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BST', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387442', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387442', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6339029', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BSZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BSZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6338987', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BTZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BTZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387189', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387189', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145269', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145269', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140732', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140732', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145266', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145266', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387189', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BUZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BUZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387189', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145269', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140732', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145269', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140732', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359066', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145266', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145266', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BVZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BVZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88536', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88536', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97312', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97293', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97293', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6278063', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277885', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532457', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211332334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BWZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BWZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281320', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BXZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BXZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57811', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.57756', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BYZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BYZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56951', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7421144', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6538657', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344825', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.BZZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CAZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CAZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281320', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7608179', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540551', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211332461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CBZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CBZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159025', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159023', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281320', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6278063', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532605', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211332500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281320', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277885', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281406', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 2240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493137', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211332510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CCZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CCZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.145273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211332514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387446', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211332520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359070', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.140737', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.159079', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 2254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.8._.CDM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CDM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.392801', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.(C_2^2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 211332525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16973', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13340', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55658', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13340', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55657', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16454', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13340', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55658', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16430', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13340', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211332772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55657', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211332982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211332987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211332995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211332999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.SZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.TZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.US', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.US', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.UZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.VZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.VZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5205', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5111', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.WZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.WZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5190', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5078', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.XZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.XZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27029', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55657', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27029', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.YZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.YZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55657', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.ZZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ZZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BAZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BAZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BBZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BBZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4414', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16975', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BCZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BCZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56086', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BDZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BDZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26993', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BEZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BEZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26993', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29659', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29659', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BFZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BFZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BGZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BGZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29659', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29659', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BHZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BHZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BII', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BII', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 3148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13677', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BIZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BIZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29659', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.39984', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4490', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 211333551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BJZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BKZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BKZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3379', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3325', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BLZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BLZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3324', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29659', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14737', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211333646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 3265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.16._.BMW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BMW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16432', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.762', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211333886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2188', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.754', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.471', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211333895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.48', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333949
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 211333950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211333953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211333994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211333999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334036
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334038
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 211334039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1572', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1135', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1572', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1135', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1572', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1135', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1572', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 3801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.US', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.US', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1011', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1135', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 3812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.32._.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 211334282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334291
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334292
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334293
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334294
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334295
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334297
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334298
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334299
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334302
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334303
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334304
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334308
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334325
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334330
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334345
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334347
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 3914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334370
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 3916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334381
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334383
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 3928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334394
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334397
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 3940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334416
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334419
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334420
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334438
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334441
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 3982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334460
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 3998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 3999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 4000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334477
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 4011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 211334478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 4023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.267', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 4031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.64._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334501
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334502
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334503
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334504
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334505
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334506
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334507
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334509
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334510
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334512
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1751', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334514
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1751', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334515
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1751', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334516
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1751', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334517
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 4048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334518
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334520
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 4051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334524
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334526
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334527
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334531
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334533
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334536
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334539
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334540
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 4069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334542
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334544
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334545
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334546
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334547
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334548
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334549
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334550
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334551
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334556
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334557
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2320', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334560
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334561
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 4088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2320', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334562
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334566
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334567
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334569
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334571
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334572
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2312', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334577
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 4102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2320', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 211334581
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334582
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 4106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.128._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 211334583
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.56071', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334584
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334585
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334587
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334588
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334589
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334590
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334591
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334592
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334593
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334594
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334595
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334598
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334599
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334600
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334601
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334602
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334603
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334604
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334605
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334606
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334607
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334609
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334610
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.56071', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334611
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334612
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53347', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334613
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53347', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334614
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334615
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53371', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334616
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53347', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334617
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53347', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334618
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334620
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 4140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.55643', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334621
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 4141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.256._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211334622
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334623
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334624
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334625
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334626
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6253790', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6253790', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334628
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334633
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6253790', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334634
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334635
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334636
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6253790', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334637
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334638
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.10482007', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times (C_2\\times C_4).C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334639
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.10482018', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_2.C_2^6.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334640
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 4159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.10482065', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 4160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.512._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211334643
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 4161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334644
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 4162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 4163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334646
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 4164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334647
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 4165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 4166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334649
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 4167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4096.brc.1024._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 211334650
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 4168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4096.brc.2048._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2048.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334651
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 4169, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4096.brc.2048._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2048.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334653
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 4170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4096.brc.2048._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2048.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.crw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(D_4\\times C_2^5).D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211334654
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4096.brc', 'ambient_counter': 1121, 'ambient_order': 4096, 'ambient_tex': 'C_2^5.(D_4\\times C_2^4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 4171, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '4096.brc.4096.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '4096.brc', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.(D_4\\times C_2^4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 211334282
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.64._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334549
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246831, 106100378013111595289504715054925946334], 'label': '4096.brc.128._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333499
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334550
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 9376205970193753802553092642318974855, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333688
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 52639656569749757796971124810025109160, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334551
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334283
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333689
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333690
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333691
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334284
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.64._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333692
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333693
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334313
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332540
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334314
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.64._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332564
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332565
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.16._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332566
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331983
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331129
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 1, 74280122668324423460508764963345670], 'label': '4096.brc.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331130
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331131
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331132
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331133
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331134
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331135
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331136
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331137
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331138
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331139
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331140
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331141
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331142
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331143
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331144
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331145
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331146
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331147
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334581
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331148
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331149
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331150
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331151
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331152
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331153
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331154
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331155
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331156
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331157
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331158
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331159
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331160
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331161
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331162
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331163
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331164
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331165
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331166
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331167
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331168
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331984
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331169
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331170
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331171
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331172
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331173
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331174
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908601, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331175
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331176
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331177
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331178
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331179
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331180
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331181
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331182
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331183
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331184
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331185
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331186
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331187
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331188
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331189
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332051
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331190
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331191
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331192
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331193
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331194
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331195
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331196
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331197
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331198
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331199
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331200
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331201
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331202
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331203
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331204
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331205
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331206
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331207
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331208
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331209
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331210
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332162
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331211
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331212
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331213
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331214
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331215
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331216
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331217
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331218
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331219
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331220
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331221
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331222
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331223
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331224
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331225
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331226
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331227
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331228
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331229
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331230
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331231
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332316
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331232
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331233
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331234
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331235
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331236
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331237
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331238
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331239
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331240
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331241
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331242
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331243
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331244
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331245
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331246
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331247
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331248
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331249
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331250
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331251
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331252
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375580984486354401288663514836729, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334315
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331253
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331254
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331255
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331256
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331257
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919375580984486354401288663514836729, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331258
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331259
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331260
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331261
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331262
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331263
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331264
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331265
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331266
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331267
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331268
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331269
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331270
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331271
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331272
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331273
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332638
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331274
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331275
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331276
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331277
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331278
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331279
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331280
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331281
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331282
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331283
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331284
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331285
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331286
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331287
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331288
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331289
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331290
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331291
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331292
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331293
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331294
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333286
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331295
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331296
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331297
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331298
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331299
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331300
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331301
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331302
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331303
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331304
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331305
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331306
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331307
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331308
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331309
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331310
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331311
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331312
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331313
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331314
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331315
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334316
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.64._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331316
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331317
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331318
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331319
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331320
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331321
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331322
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331323
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331324
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331325
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331326
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331327
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331328
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331329
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331330
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331331
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331332
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331333
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331334
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331335
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331336
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334317
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331337
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331338
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331339
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331340
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331341
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331342
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331343
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331344
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331345
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331346
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331347
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331348
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331349
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331350
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331351
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331352
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.2._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331353
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331354
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331355
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331356
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331357
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334582
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432366352023606817161611472291999665, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331358
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331359
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331360
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331361
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331362
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331363
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331364
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331365
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331366
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331367
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331368
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331369
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331370
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331371
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331372
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331373
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331374
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331375
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331376
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331377
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331378
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334345
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331379
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331380
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331381
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331382
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331383
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331384
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331385
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331386
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331387
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331388
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331389
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331390
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331391
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331392
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331393
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 8718210949709308270433269296131885688, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331394
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331395
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210949709308270433269296131885688, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331396
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331397
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331398
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 8718210949709308270433269296131885688, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331399
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 8718210949709308270433269296131885688, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334346
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881], 'label': '4096.brc.64._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331400
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 8718210949709308270433269296131885688, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331401
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331402
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331403
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331404
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331405
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331406
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331407
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331408
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331409
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331410
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331411
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331412
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331413
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331414
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331415
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331416
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331417
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331418
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331419
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331420
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334347
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951], 'label': '4096.brc.64._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331421
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331422
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331423
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331424
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331425
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331426
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331427
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331428
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331429
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331430
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331431
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331432
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331433
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331434
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331435
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331436
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331437
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331438
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331439
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331440
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.RZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.RZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331441
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334348
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331442
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331443
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331444
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331445
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331446
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331447
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331448
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331449
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331450
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331451
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331452
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331453
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331454
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331455
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331456
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331457
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331458
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331459
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331460
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331461
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331462
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333694
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331463
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331464
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331465
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210873487196214396778488748246830, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331466
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331467
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331468
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331469
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331470
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.SZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.SZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331471
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331472
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331473
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331474
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331475
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331476
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331477
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331478
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331479
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331480
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331481
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331482
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331483
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334583
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100378013111595289504715054925946334], 'label': '4096.brc.256._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331484
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331485
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331486
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331487
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331488
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331489
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331490
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331491
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331492
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331493
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331494
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331495
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331496
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331497
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331498
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331499
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.TZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.TZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331500
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331501
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331502
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331503
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331504
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334349
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331505
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331506
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331507
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331508
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331509
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331510
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331511
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331512
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331513
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331514
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331515
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331516
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331517
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331518
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331519
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331520
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.US', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.US', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331521
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331522
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331523
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331524
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331525
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334350
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331526
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331527
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.UZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.UZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331528
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331529
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.VB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331530
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331531
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331532
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331533
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331534
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331535
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331536
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331537
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331538
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331539
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 54744623384069545598428319272980539160, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331540
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331541
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331542
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331543
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331544
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331545
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908601, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331546
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333695
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331547
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331548
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 54744703261588881424433657337377185560, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331549
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331550
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331551
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331552
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331553
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331554
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331555
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331556
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.VZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.VZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.VZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331557
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331558
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331559
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331560
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331561
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331562
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.WF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331563
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331564
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.WG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331565
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.WH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331566
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.WI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331567
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.WJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333696
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331568
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.WK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331569
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331570
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331571
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331572
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331573
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331574
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.2._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331575
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331576
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331577
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331578
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331579
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331580
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331581
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331582
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331583
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331584
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331585
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.WZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.WZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.WZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331586
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331587
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331588
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331589
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331590
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331591
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331592
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331593
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331594
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331595
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331596
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331597
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331598
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331599
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331600
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331601
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331602
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331603
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331604
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331605
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.XR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331606
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 201387466259483629571079851094514501320, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331607
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 205606056580891542766635572140604174400, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331608
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331609
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331610
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332538
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331611
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331612
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331613
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331614
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.XZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.XZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.XZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331615
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 201387466259483629571079851094514501320, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331616
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 205606056580891542766635572140604174400, 36363783593844268326955552979947253094, 174641361355935057342309483271, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331617
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331618
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331619
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331620
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331621
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331622
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331623
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331624
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331625
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331626
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331627
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331628
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331629
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331630
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331631
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.YO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331632
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331633
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331634
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331635
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331636
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331637
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331638
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331639
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331640
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.YX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331641
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331642
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331643
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.YZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.YZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.YZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331644
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331645
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331646
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331647
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331648
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331649
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331650
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 174641361355935057342309483271, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331651
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331652
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331653
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331654
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331655
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331656
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728144, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331657
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331658
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331659
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331660
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331661
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331662
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331663
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331664
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331665
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331666
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331667
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ZV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331668
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331669
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331670
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331671
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ZZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ZZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ZZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331672
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331673
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331674
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331675
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BAC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331676
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BAD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331677
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331678
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331679
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331680
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331681
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331682
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331683
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331684
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BAL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331685
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331686
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331687
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331688
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331689
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331690
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331691
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331692
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331693
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331694
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BAT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331695
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331696
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331697
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333722
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331698
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331699
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331700
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331701
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BAZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BAZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BAZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331702
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331703
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331704
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331705
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331706
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331707
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331708
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331709
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331710
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331711
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331712
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331713
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331714
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331715
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331716
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331717
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331718
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332539
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 54218364253362895069566460241372317369, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331719
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331720
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BBQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331721
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BBR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331722
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331723
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331724
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331725
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331726
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331727
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331728
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BBY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331729
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BBZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BBZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BBZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331730
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331731
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331732
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331733
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331734
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331735
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331736
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331737
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331738
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BCH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331739
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BCI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331740
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331741
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331742
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331743
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331744
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744703261588881424433657337377185560, 60919304844282007052554745909588355294, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BCM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331745
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BCN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331746
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331747
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BCP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331748
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 269870097749807879190776375341769928384, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331749
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331750
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 71083702592735669325934316206792432200, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331751
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331752
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331753
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201387581199505083056855392864556853265, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331754
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331755
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 156882986538548603683711707957660282361, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331756
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331757
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331758
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BCZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BCZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BCZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331759
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331760
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331761
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 54744623384069545598428319272980539160, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331762
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331763
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331764
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331765
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331766
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331767
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331768
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331769
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331770
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331771
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331772
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331773
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331774
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331775
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331776
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331777
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331778
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331779
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331780
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331781
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331782
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331783
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331784
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331785
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331786
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919375504762374349456093013775914671, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BDY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331787
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BDZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BDZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BDZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331788
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BEA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331789
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331790
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331791
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331792
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 54744623384069545598428319272980539160, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BEE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331793
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331794
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BEG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331795
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331796
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331797
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331798
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331799
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331800
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331801
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BEL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331802
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BEM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331803
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BEN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331804
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331805
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331806
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BEQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331807
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331808
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331809
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331810
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331811
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BEU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331812
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BEV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331813
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BEW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331814
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BEX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331815
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BEY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331816
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BEZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BEZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BEZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331817
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BFA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331818
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BFB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331819
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331820
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 21842434616366846913690073933554897726, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BFC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331821
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331822
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331823
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331824
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 53955310786701655309397913454218625087, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331825
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331826
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331827
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BFJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331828
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331829
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331830
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331831
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331832
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331833
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331834
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331835
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331836
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331837
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 156882986538548603683711707957660282361, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331838
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331839
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331840
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331841
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331842
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 71083702592735669325934316206792432200, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331843
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331844
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331845
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BFZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BFZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BFZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331846
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.8._.BGA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331847
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BGB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331848
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331849
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331850
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BGE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331851
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331852
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331853
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331854
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BGH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331855
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807424, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331856
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331857
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331858
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331859
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331860
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331861
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331862
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331863
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331864
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.8._.BGQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331865
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BGR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331866
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BGS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331867
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331868
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331869
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331870
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331871
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331872
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BGY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331873
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BGZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BGZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BGZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331874
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331875
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BHA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331876
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331877
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BHC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331878
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331879
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331880
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331881
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 54744703261588881424433657337377185560, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331882
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331883
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331884
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331885
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331886
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331887
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331888
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331889
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331890
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331891
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331892
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BHQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331893
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331894
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331895
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BHT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331896
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331897
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331898
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BHV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331899
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331900
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331901
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331902
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BHZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BHZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BHZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331903
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331904
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331905
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331906
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331907
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331908
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331909
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331910
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331911
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331912
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331913
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BII', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BII', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BII', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331914
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331915
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331916
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331917
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331918
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331919
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331920
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331921
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331922
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331923
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331924
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331925
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331926
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331927
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331928
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331929
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331930
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331931
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331932
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BIZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BIZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BIZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331933
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331934
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331935
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 54744623384069545598428319272980539160, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331936
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331937
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331938
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331939
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331940
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331941
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331942
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331943
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331944
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331945
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331946
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331947
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331948
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331949
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331950
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331951
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BJR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331952
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331953
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331954
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331955
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331956
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331957
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331958
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331959
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331960
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331961
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331962
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331963
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331964
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331965
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331966
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331967
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331968
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331969
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331970
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331971
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331972
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331973
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331974
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331975
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331976
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331977
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331978
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331979
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331980
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331981
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331982
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334378
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331985
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331986
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BKW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331987
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331988
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331989
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BKZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BKZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BKZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331990
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331991
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331992
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331993
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331994
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331995
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331996
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331997
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331998
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211331999
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332000
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332001
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332002
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332003
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332004
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332005
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332006
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332007
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332008
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332009
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332010
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332011
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332012
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332013
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BLV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332014
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332015
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332016
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332017
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BLZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BLZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BLZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332018
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332019
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332020
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BMA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332021
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332022
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332023
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BMD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332024
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 201387466259483629571079851094514501320, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332025
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 205606056580891542766635572140604174400, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BMF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332026
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BMG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332027
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BMH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332028
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BMI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334584
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345671, 47547751345659083150321458368812658648, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332029
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BMJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332030
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332031
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BMK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332032
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332033
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.8._.BMM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332034
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BMN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332035
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332036
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332037
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BMQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332038
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332039
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332040
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BMT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332041
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332042
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 201387466259483629571079851094514501320, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332043
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 205606056580891542766635572140604174400, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332044
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332045
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332046
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332047
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BMZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BMZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BMZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332048
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332049
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332050
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332052
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332053
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332054
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332055
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BNG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332056
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332057
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332058
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BNJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332059
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.8._.BNK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332060
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332061
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332062
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332063
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332064
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332065
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332066
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332067
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332068
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332069
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BNT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332070
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BNU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332071
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332072
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BNW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332073
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332074
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332075
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332076
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BNZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BNZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BNZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332077
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332078
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332079
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332080
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332081
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332082
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332083
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332084
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332085
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332086
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332087
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BOJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332088
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BOK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332089
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332090
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BOM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332091
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332092
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332093
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332094
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332095
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333723
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332096
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332097
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332098
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332099
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332100
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332101
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332102
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BOX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332103
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332104
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BOZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BOZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BOZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332105
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332106
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332107
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332108
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332109
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332110
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332111
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332112
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332113
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332114
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332115
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332116
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332117
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332118
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332119
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332120
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BPN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332121
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332122
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332123
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332124
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332125
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332126
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332127
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332128
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332129
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332130
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332131
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332132
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332133
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332134
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BPZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BPZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BPZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332135
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332136
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332137
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332138
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332139
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332140
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332141
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332142
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332143
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332144
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332145
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332146
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332147
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332148
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332149
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332150
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332151
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332152
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332153
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332154
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332155
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332156
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332157
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332158
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332159
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332160
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332161
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BQY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334379
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332163
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332164
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332165
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332166
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 174641361355935057342309483271, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332167
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332168
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332169
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BRF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332170
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BRG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332171
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332172
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BRI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332173
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332174
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332175
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332176
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332177
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332178
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332179
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BRO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332180
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BRP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332181
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332182
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332183
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332184
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332185
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332186
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332187
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332188
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BRW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332189
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332190
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332191
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BRZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BRZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BRZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332192
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332193
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BSB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332194
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BSC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332195
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332196
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332197
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332198
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332199
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332200
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332201
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332202
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332203
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332204
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BSL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332205
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332206
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332207
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332208
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332209
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332210
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 156882906959153483993858125939631807424, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332211
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332212
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332213
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332214
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332215
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BSV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332216
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332217
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332218
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332219
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332220
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BSZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BSZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BSZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332221
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332222
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332223
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332224
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332225
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332226
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BTF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332227
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332228
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332229
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332230
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332231
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332232
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332233
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332234
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332235
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BTN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332236
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332237
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332238
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332239
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332240
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332241
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332242
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332243
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332244
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332245
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BTU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332246
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332247
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332248
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332249
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333724
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332250
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BTZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BTZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BTZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332251
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332252
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332253
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332254
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332255
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BUD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332256
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332257
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332258
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332259
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332260
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332261
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332262
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332263
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332264
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332265
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332266
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332267
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332268
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332269
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332270
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332271
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BUS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332272
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332273
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332274
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332275
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332276
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332277
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332278
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332279
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BUZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BUZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BUZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332280
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332281
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BVB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332282
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332283
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332284
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332285
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332286
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332287
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332288
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332289
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332290
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332291
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332292
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332293
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334585
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 47547751345659083150321458368812658648, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332294
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332295
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332296
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332297
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332298
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332299
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BVR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332300
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 156882986538548603683711707957660282361, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332301
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332302
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332303
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BVV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332304
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BVW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332305
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332306
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BVY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332307
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BVZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BVZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BVZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332308
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332309
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332310
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332311
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332312
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332313
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332314
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332315
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332317
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332318
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332319
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332320
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332321
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332322
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 71083702592735669325934316206792432200, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332323
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332324
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332325
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332326
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332327
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332328
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332329
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332330
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332331
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332332
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332333
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332334
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332335
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BWY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332336
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BWZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BWZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BWZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332337
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BXA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332338
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BXB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333851
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332339
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332340
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BXD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332341
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332342
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BXE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332343
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BXF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332344
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332345
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332346
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332347
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332348
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332349
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 54744623384069545598428319272980539160, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332350
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332351
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332352
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332353
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332354
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332355
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332356
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332357
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332358
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332359
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332360
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332361
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332362
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332363
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332364
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332365
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332366
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BXZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BXZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BXZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332367
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 54744623384069545598428319272980539160, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332368
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332369
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332370
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332371
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 54744623384069545598428319272980539160, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332372
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332373
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332374
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332375
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332376
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332377
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332378
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332379
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332380
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332381
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BYN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332382
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BYO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332383
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BYP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332384
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332385
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BYR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332386
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332387
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BYS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332388
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BYT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332389
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332390
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332391
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332392
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332393
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332394
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BYZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BYZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BYZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332395
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332396
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332397
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332398
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.8._.BZC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332399
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332400
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332401
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332402
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332403
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332404
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332405
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332406
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.8._.BZK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332407
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332408
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332409
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332410
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332411
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332412
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332413
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332414
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332415
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332416
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332417
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332418
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332419
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332420
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332421
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332422
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332423
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BZZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332424
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332425
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332426
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332427
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332428
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332429
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332430
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332431
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332432
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332433
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332434
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CAJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332435
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332436
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332437
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332438
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332439
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332440
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332441
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332442
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 54744623384069545598428319272980539160, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332443
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332444
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CAS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332445
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332446
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332447
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332448
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332449
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CAX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332450
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 159259307333437055537086820437103926705, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CAY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332451
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CAZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CAZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CAZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332452
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332453
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332454
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332455
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332456
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332457
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332458
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332459
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332460
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332461
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332462
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332463
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332464
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332465
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332466
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332467
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332468
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332469
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332470
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332471
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332472
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332473
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332474
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332475
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332476
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332477
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332478
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.CBW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332479
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332480
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CBY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332481
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CBZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CBZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CBZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332482
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332483
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332484
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332485
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332486
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332487
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332488
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332489
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332490
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332491
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332492
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332493
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332494
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332495
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332496
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332497
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332498
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332499
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332500
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332501
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332502
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332503
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332504
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332505
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332506
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332507
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332508
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332509
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CCY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332510
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CCZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CCZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CCZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332511
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CDA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332512
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332513
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332514
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332515
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CDE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332516
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CDF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332517
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332518
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CDH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332519
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332520
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CDI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332521
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332522
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CDK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332523
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332524
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CDM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CDM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CDM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332525
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213201037645456975390727307235691801, 54744623384069545598428319272980539161, 113213218725078914511879632163040493670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332526
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 58165600917718213543044160365757469329, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332527
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213201037645456975390727307235691801, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332528
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332529
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332530
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332531
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 58165600917718213543044160365757469329, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332532
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483271, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332533
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332534
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332535
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 54218364253362895069566460241372317369, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332536
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332537
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332541
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332542
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703646, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332543
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332544
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703646, 36363783735399598158411963280914554335, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332545
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783735399598158411963280914554335, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332546
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332547
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332548
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332549
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332550
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332551
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332552
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332553
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332554
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332555
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332556
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332557
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 73978026907738594244401095812164532886, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332558
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332559
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332560
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332561
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332562
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332563
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332567
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332568
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.16._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332569
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921, 113213218583104162633761670808069300881], 'label': '4096.brc.16._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332570
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332571
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332572
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.16._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332573
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332574
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332575
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332576
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332577
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332578
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.16._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332579
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 36363810121643065574041485852148949791, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332580
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.16._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332581
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332582
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.16._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332583
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 36363810121643065574041485852148949791, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332584
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532887, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332585
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332586
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332587
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 36363810121643065574041485852148949791, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332588
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332589
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332590
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332591
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 36363810121643065574041485852148949791, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332592
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332593
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332594
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332595
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332596
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332597
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332598
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 58165600917718213543044160365757469329, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332599
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213200895686216307188093053754952215, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332600
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332601
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54744623384069545598428319272980539161, 1, 113213218725078914511879632163040493670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332602
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 1, 58165600917718213543044160365757469329, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332603
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54744623384069545598428319272980539161, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332604
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332605
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332606
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332607
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332608
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332609
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332610
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332611
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332612
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332613
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703646, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332614
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332615
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703646, 36363783593844268326955552979947253095, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332616
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253095, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332617
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703646, 113213200895686216307188093053754952214, 1, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332618
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 113213200895686216307188093053754952214, 1, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332619
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332620
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703646, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332621
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332622
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332623
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332624
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332625
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332626
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332627
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332628
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332629
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332630
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332631
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332632
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332633
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332634
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332635
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332636
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 174641361355935057342309483270, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332637
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332639
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332640
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332641
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332642
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332643
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332644
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332645
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332646
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332647
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332648
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332649
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 18684598960516290573255059078743908600, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332650
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 1, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332651
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332652
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332653
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332654
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 18684598960516290573255059078743908600, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332655
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332656
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332657
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332658
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332659
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332660
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332661
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332662
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332663
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332664
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332665
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332666
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332667
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332668
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332669
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 58165600917718213543044160365757469329, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332670
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332671
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332672
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332673
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 58165600917718213543044160365757469329, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332674
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332675
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332676
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332677
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332678
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 54218364253362895069566460241372317369, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332679
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332680
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332681
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332682
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 54218364253362895069566460241372317369, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332683
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332684
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332685
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332686
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332687
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 74280122668324423460508764963345670], 'label': '4096.brc.16._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332688
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.16._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332689
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332690
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332691
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332692
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.16._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332693
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332694
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332695
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332696
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332697
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332698
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332699
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332700
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332701
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 73978026907738594244401095812164532886, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332702
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332703
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332704
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332705
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332706
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332707
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332708
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332709
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327920, 113213218583104162633761670808069300880, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332710
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332711
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332712
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332713
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332714
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332715
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332716
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332717
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332718
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332719
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332720
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332721
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332722
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332723
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.16._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332724
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332725
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532887, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 74280122668324423460508764963345670], 'label': '4096.brc.16._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332726
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 18684501697116904686045519673583349121, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332727
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.16._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332728
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332729
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332730
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332731
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332732
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332733
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332734
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332735
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332736
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332737
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332738
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332739
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 54744623384069545598428319272980539161, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332740
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 58165600917718213543044160365757469329, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332741
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332742
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332743
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332744
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54744623384069545598428319272980539161, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332745
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 1, 58165600917718213543044160365757469329, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332746
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54744623384069545598428319272980539161, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332747
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332748
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332749
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332750
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332751
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332752
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332753
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332754
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332755
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.16._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332756
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332757
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 74280122668324423460508764963345670], 'label': '4096.brc.16._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332758
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.16._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332759
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332760
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332761
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332762
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.16._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332763
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332764
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332765
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332766
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332767
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332768
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332769
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332770
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332771
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332772
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.16._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332773
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 97120572080650786948064155139511248760, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332774
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332775
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248761, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332776
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 101067543473207699186426549407335547800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332777
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 101067543473207699186426549407335547801, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332778
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332779
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332780
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332781
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332782
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332783
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332784
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332785
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332786
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332787
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332788
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332789
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332790
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332791
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332792
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332793
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332794
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332795
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332796
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332797
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332798
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332799
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332800
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332801
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332802
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332803
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332804
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332805
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332806
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332807
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332808
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332809
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332810
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248761, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332811
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248760, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332812
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 101067543473207699186426549407335547801, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332813
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 101067543473207699186426549407335547800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332814
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332815
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332816
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332817
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332818
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332819
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332820
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332821
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332822
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332823
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332824
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332825
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332826
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332827
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332828
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332829
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332830
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332831
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332832
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332833
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332834
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332835
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332836
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332837
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332838
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332839
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332840
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332841
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332842
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332843
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332844
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332845
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 101067543473207699186426549407335547800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332846
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 101067543473207699186426549407335547801, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332847
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248760, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332848
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248761, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332849
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332850
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332851
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332852
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332853
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332854
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.16._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332855
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332856
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332857
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332858
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332859
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332860
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332861
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332862
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332863
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332864
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332865
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332866
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332867
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332868
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332869
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332870
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332871
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332872
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332873
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332874
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332875
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332876
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332877
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332878
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332879
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332880
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 101067543473207699186426549407335547801, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332881
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 101067543473207699186426549407335547800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332882
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248761, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332883
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 97120572080650786948064155139511248760, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332884
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332885
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332886
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332887
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332888
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332889
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332890
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332891
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332892
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332893
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332894
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332895
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332896
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332897
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332898
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332899
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332900
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332901
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332902
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332903
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332904
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332905
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332906
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332907
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332908
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332909
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332910
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332911
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332912
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332913
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332914
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332915
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332916
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 201387466259483629571079851094514501320, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332917
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 201387466259483629571079851094514501321, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332918
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606056580891542766635572140604174400, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332919
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332920
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 205606056580891542766635572140604174401, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332921
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332922
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332923
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332924
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332925
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332926
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332927
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332928
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332929
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332930
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332931
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332932
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332933
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332934
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332935
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332936
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332937
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332938
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332939
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332940
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332941
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332942
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332943
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332944
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332945
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332946
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332947
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332948
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332949
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332950
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332951
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 201387466259483629571079851094514501321, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332952
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332953
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 201387466259483629571079851094514501320, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332954
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606056580891542766635572140604174401, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332955
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606056580891542766635572140604174400, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332956
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332957
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332958
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332959
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332960
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.16._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332961
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332962
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332963
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332964
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332965
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332966
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332967
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332968
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332969
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332970
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332971
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332972
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332973
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332974
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332975
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332976
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332977
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332978
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332979
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332980
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332981
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332982
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332983
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332984
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332985
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332986
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332987
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606056580891542766635572140604174400, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332988
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 205606056580891542766635572140604174401, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332989
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 201387466259483629571079851094514501320, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332990
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 201387466259483629571079851094514501321, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332991
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332992
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332993
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332994
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332995
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332996
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332997
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332998
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211332999
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333000
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333001
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333002
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333003
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333004
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333005
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.16._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333006
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333007
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333008
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333009
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333010
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333011
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333012
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333013
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333014
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333015
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333016
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333017
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333018
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333019
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333020
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333021
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333022
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333023
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606056580891542766635572140604174401, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333024
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606056580891542766635572140604174400, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333025
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 201387466259483629571079851094514501321, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333026
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 201387466259483629571079851094514501320, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333027
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333028
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333029
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333030
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333031
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333032
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.16._.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333033
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333034
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333035
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333036
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333037
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333038
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333039
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333040
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333041
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333042
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333043
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333044
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333045
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333046
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333047
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333048
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333049
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333050
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333051
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333052
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333053
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333054
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333055
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333056
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333057
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333058
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 272238275285856048559856942205901111344, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333059
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333060
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333061
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333062
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 194011475398495243046563614168506451480, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333063
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333064
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333065
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159259386905960706878645261697921700801, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333066
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333067
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 205606162684781545957512868918548321505, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333068
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333069
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333070
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333071
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 101067632198926801368147394835441960521, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333072
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.SZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.SZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333073
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333074
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333075
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333076
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333077
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333078
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333079
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333080
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333081
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333082
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333083
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333084
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333085
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333086
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333087
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333088
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333089
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333090
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333091
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333092
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333093
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333094
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333095
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333096
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333097
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333098
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 156882986538548603683711707957660282360, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333099
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333100
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333101
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.TZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.TZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333102
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333103
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333104
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333105
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333106
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333107
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333108
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333109
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333110
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333111
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333112
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333113
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333114
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333115
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333116
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333117
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333118
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333119
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333120
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333121
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333122
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.US', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.US', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333123
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333124
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333125
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333126
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333127
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333128
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333129
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333130
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333131
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 159259307333437055537086820437103926705, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.UZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.UZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333132
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333133
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333134
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159259386905960706878645261697921700801, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333135
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333136
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333137
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333138
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333139
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333140
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333141
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333142
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333143
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333144
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333145
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333146
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333147
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 159259386905960706878645261697921700801, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333148
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333149
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333150
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333151
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333152
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333153
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333154
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333155
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333156
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333157
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333158
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.VY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333159
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.VZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.VZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.VZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333160
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333161
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333162
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333163
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333164
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333165
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926704, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333166
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333167
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333168
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333169
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333170
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333171
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333172
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333173
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.16._.WM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333174
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333175
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333176
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333177
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333178
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333179
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333180
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333181
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333182
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744703261588881424433657337377185560, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333183
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333184
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333185
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333186
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.WX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333187
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333188
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.WZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.WZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.WZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333189
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.XA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333190
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.XB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333191
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333192
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.XD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333193
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333194
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.XF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333195
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333196
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333197
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.16._.XH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333198
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.XI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333199
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333200
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333201
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333202
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333203
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333204
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333205
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333206
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333207
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333208
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333209
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333210
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333211
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333212
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333213
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 113213201037645456975390727307235691801, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333214
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 11884174558964168871012120860315144569, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333215
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333216
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 11884174558964168871012120860315144569, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.XZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.XZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.XZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333217
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333218
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333219
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333220
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333221
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333222
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333223
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174700922764365223515720252362481, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333224
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333225
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 1, 11884174700922764365223515720252362481, 74280122668324423460508764963345670], 'label': '4096.brc.16._.YH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333226
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333227
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333228
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333229
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333230
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333231
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333232
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 1, 11884174700922764365223515720252362481, 74280122668324423460508764963345670], 'label': '4096.brc.16._.YN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333233
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213200895686216307188093053754952215, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333234
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333235
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.16._.YQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333236
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333237
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.16._.YS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333238
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333239
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.YU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333287
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333240
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333241
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333242
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333243
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333244
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 11884174558964168871012120860315144569, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.YX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333245
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333246
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.YZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.YZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.YZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333247
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333248
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333249
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333250
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333251
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 113213201037645456975390727307235691800, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333252
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333253
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333254
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 156882986538548603683711707957660282360, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333255
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333256
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333257
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333258
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333259
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213201037645456975390727307235691800, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333260
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144568, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333261
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144568, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333262
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333263
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333264
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333265
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333266
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333267
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333268
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333269
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333270
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333271
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333272
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333273
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.ZY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333274
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333275
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.ZZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ZZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ZZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333276
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333277
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333278
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333279
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333280
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333281
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333282
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333283
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333284
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333285
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333288
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333289
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333290
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333291
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333292
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333293
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333294
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333295
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333296
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333297
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333298
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333299
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333300
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333301
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333302
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BAY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333303
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BAZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BAZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BAZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333304
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333305
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333306
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333307
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333308
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333309
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333310
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BBF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333404
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333311
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333312
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333313
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333314
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333315
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333316
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BBL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333317
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333318
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333319
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174558964168871012120860315144569, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333320
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333321
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333322
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333323
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333324
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333325
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333326
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333327
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BBV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333328
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333329
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333330
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333331
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333332
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BBZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BBZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BBZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333333
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BCA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333334
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333335
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333336
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BCD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333337
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333338
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333339
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 174641361355935057342309483270, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333340
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333341
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333342
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 174641361355935057342309483270, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333343
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BCJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333344
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333345
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333346
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333347
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BCN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333348
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BCO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333349
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333350
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333351
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333352
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333353
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333354
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333355
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333356
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333357
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BCU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333358
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333359
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333360
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333361
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333362
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BCZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BCZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BCZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333363
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333364
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333365
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333366
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333367
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 1, 11884174700922764365223515720252362481, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333368
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333369
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333370
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333371
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333372
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333373
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333374
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333375
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333376
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 11884174558964168871012120860315144569, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333377
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333378
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333379
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333498
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333380
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333381
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333382
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333383
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333384
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BDT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333385
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BDU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333386
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333387
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BDV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333388
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432201, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333389
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333390
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BDY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333391
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BDZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BDZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BDZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333392
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333393
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BEB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333394
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333395
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333396
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333397
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333398
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333399
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333400
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333401
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333402
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333403
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333405
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333406
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333407
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333408
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333409
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333410
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333411
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.BER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333412
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.BES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333413
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.16._.BET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333414
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926704, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333415
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333416
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333417
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BEX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333418
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BEY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333419
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333420
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.16._.BEZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BEZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BEZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333421
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333422
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333423
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333424
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333425
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333426
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333427
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333428
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333429
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333430
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333431
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333432
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333433
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333434
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333435
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333436
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333437
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333438
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.BFQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333439
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333440
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 75030550203927937009995193795256556385], 'label': '4096.brc.16._.BFS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333441
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333442
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333443
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BFU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333444
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333445
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333446
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333447
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333448
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BFZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BFZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BFZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333449
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333450
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333451
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333452
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333453
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333454
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333455
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333456
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333457
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333458
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333459
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333460
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333461
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333462
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333463
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333464
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333465
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333466
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333467
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.BGP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333468
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 159259386905960706878645261697921700801, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333469
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 159259307333437055537086820437103926705, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333470
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333471
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333472
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333473
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333474
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334280
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.64._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333475
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333476
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333477
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BGY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333478
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BGZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BGZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BGZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333479
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333480
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333481
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333482
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333483
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333484
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333485
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333486
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333487
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333488
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333489
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333490
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333491
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333492
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333493
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333494
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 75030665448806686884039594734845625280, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333495
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333496
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333497
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333500
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333501
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333502
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.BHV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333503
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333504
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BHX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333505
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333506
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BHZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BHZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BHZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333507
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333508
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333509
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333510
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333511
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333512
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333513
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333514
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333515
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333516
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BII', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BII', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BII', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333517
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333518
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333519
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333520
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333521
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 159259307333437055537086820437103926704, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333522
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 159259307333437055537086820437103926705, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333523
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333524
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333525
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333526
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333527
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333528
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333529
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333530
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333531
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333532
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333533
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BIX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333534
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333535
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BIZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BIZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BIZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333536
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333537
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333538
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333539
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333540
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333541
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333542
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333543
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333544
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333545
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333546
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333547
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333548
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333549
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333550
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333551
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333552
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333553
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333554
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333555
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333556
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BJS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333557
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333558
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333559
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333560
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333561
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333562
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333563
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333564
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BJZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333565
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333566
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333567
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BKC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333568
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333569
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333570
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333571
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BKG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333572
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333573
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333574
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333575
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333576
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333577
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333578
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333579
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333580
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333581
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333582
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333583
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BKQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333584
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333585
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BKS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333586
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333587
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333588
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333589
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333590
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333591
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333592
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333593
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BKZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BKZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BKZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333594
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333595
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BLB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333596
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333597
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333598
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333599
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333600
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333601
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333602
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333603
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333604
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BLJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333605
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333606
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333607
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333608
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333609
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.BLN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333610
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.16._.BLO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333611
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333612
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333613
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BLR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333614
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333615
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333616
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333617
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BLV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333618
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BLW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333619
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333620
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333621
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BLY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333622
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BLZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BLZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BLZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333623
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333624
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333625
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333626
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333627
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333628
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333629
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333630
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333631
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333632
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333633
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333634
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BMK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333635
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333636
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BMM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333637
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333638
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BMO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333639
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333640
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333641
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333642
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333643
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.16._.BMS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333644
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333645
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333646
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.16._.BMV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333647
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.16._.BMW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BMW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BMW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333648
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218725078914511879632163040493671, 74280122668324423460508764963345670], 'label': '4096.brc.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333649
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333650
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333651
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 71219087544048799458808261596385, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333652
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333653
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218725078914511879632163040493671, 74280122668324423460508764963345670], 'label': '4096.brc.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333654
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218725078914511879632163040493671, 74280122668324423460508764963345670], 'label': '4096.brc.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333655
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333656
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 52639656569749757796971124810025109160, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333657
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 113213218725078914511879632163040493671, 74280122668324423460508764963345670], 'label': '4096.brc.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333658
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333659
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333660
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333661
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333662
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333663
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333664
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333665
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333666
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 36363810263198395405619524420446367969, 74280122668324423460508764963345670], 'label': '4096.brc.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333667
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 36363810263198395405619524420446367969, 74280122668324423460508764963345670], 'label': '4096.brc.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333668
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 73978142158852878763058509407925518006, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333669
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333670
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333671
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333672
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333673
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.32._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333674
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333675
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333676
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 36363810263198395405619524420446367969, 74280122668324423460508764963345670], 'label': '4096.brc.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333677
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333678
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333679
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333680
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333681
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.32._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333682
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.32._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333683
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333684
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 52639656569749757796971124810025109160, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333685
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333686
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333687
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333697
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333698
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333699
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333700
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333701
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333702
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333703
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333704
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333705
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333706
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333707
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333708
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333709
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333710
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333711
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333712
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333713
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 73978142158852878763058509407925518006, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333714
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333715
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333716
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333717
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333718
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333719
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333720
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333721
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109160, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333725
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333726
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333727
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333728
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333729
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333730
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333731
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.32._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333732
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333733
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333734
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333735
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333736
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333737
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333738
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333739
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333740
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333741
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333742
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333743
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333744
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333745
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333746
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333747
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333748
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333749
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333750
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333751
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333752
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333753
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333754
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333755
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333756
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 52639656569749757796971124810025109160, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333757
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333758
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109160, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333759
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333760
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333761
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 54218364253362895069566460241372317368, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333762
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333763
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333764
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333765
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333766
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333767
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333768
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333769
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333770
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333771
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333772
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333773
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333774
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333775
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518007], 'label': '4096.brc.32._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333776
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333777
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333778
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333779
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333780
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333781
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 73978142158852878763058509407925518006, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333782
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333783
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.32._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333784
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333785
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333786
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333787
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333788
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333789
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333790
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 58165600917718213543044160365757469328, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333791
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333792
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 58165600917718213543044160365757469328, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333793
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333794
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333795
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333796
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333797
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333798
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333799
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333800
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333801
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333802
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333803
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333804
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333805
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333806
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333807
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333808
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333809
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 77398993044365787011131962116707703647, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333810
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121], 'label': '4096.brc.32._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333811
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 77398993044365787011131962116707703647, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333812
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121], 'label': '4096.brc.32._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333813
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.32._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333814
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333815
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.32._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333816
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333817
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333818
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333819
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333820
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333821
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333822
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333823
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333824
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333825
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333826
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165671647006281562722557741957277849, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333827
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333828
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165671647006281562722557741957277849, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333829
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54744703261588881424433657337377185561, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333830
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333831
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333832
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333833
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333834
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54744623384069545598428319272980539161, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333835
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333836
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333837
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 54218443834092005904105806818509559009, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333838
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333839
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333840
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333841
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333842
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333843
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333844
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 77399117131192719148651882781626686846, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333845
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333846
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 77399117131192719148651882781626686846, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333847
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333848
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.32._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333849
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333850
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.32._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333852
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333853
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.32._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333854
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333855
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 1, 73978142158852878763058509407925518006, 74280122668324423460508764963345670], 'label': '4096.brc.32._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333856
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333857
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333858
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333859
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333860
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333861
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 58165600917718213543044160365757469328, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333862
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333863
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333864
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 58165600917718213543044160365757469328, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333865
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333866
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333867
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333868
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165600917718213543044160365757469329, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333869
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333870
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333871
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333872
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333873
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333874
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333875
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333876
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333877
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333878
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.32._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333879
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 77398993044365787011131962116707703647, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333880
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333881
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 77398993044365787011131962116707703647, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333882
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121], 'label': '4096.brc.32._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333883
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333884
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333885
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333886
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 77398993044365787011131962116707703646], 'label': '4096.brc.32._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333887
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333888
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333889
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333890
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 73978026907738594244401095812164532887], 'label': '4096.brc.32._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333891
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333892
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333893
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333894
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333895
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333896
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333897
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 159259386905960706878645261697921700800, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333898
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 159259307333437055537086820437103926704, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333899
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [159259386905960706878645261697921700801, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333900
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 159259307333437055537086820437103926705, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333901
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 156882986538548603683711707957660282360, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333902
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882906959153483993858125939631807424, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333903
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 156882986538548603683711707957660282361, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333904
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333905
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744703261588881424433657337377185560, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333906
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333907
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333908
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333909
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333910
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333911
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333912
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333913
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333914
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333915
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333916
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333917
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333918
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333919
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 60919375504762374349456093013775914671, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333920
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639656569749757796971124810025109160, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333921
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333922
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333923
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333924
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333925
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333926
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333927
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333928
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333929
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333930
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333931
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333932
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333933
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030665448806686884039594734845625281, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333934
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 75030550203927937009995193795256556385, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333935
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [75030665448806686884039594734845625280, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333936
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 75030550203927937009995193795256556384, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333937
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71083702592735669325934316206792432201, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333938
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333939
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71083702592735669325934316206792432200, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333940
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333941
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333942
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333943
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333944
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333945
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333946
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333947
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333948
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333949
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333950
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333951
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333952
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333953
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333954
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333955
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333956
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333957
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333958
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333959
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333960
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333961
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333962
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333963
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333964
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333965
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333966
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333967
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333968
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 132202398035280676224618874419137646775, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333969
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333970
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333971
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 132202398035280676224618874419137646775, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333972
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 132202336145210710666236710751841792584, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333973
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363810121643065574041485852148949790, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333974
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333975
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253095, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333976
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333977
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 113213200895686216307188093053754952215, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333978
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333979
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333980
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333981
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333982
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333983
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333984
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333985
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333986
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 132202398035280676224618874419137646775, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333987
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333988
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 36363783735399598158411963280914554334, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333989
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333990
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 132202336145210710666236710751841792584, 36363783735399598158411963280914554334, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333991
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333992
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 74280122668324423460508764963345670], 'label': '4096.brc.32._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333993
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333994
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 113213200895686216307188093053754952215, 36363783735399598158411963280914554334, 74280122668324423460508764963345670], 'label': '4096.brc.32._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333995
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333996
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333997
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 36363783735399598158411963280914554334, 74280122668324423460508764963345670], 'label': '4096.brc.32._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333998
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211333999
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 36363783735399598158411963280914554334, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334000
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334001
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783735399598158411963280914554334, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334002
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334003
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334004
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334005
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334006
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334007
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334008
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 132202336145210710666236710751841792584, 113213201037645456975390727307235691800, 74280122668324423460508764963345670], 'label': '4096.brc.32._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334009
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334010
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334011
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334012
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334013
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334014
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334015
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334016
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334017
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334018
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334019
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334020
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334021
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.32._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334022
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334023
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334024
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 132202398035280676224618874419137646775, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334025
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334026
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 132202336145210710666236710751841792584, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334027
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 36363810121643065574041485852148949790, 74280122668324423460508764963345670], 'label': '4096.brc.32._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334028
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253095, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334029
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334030
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334031
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334032
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334033
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334034
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.32._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334035
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334036
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 36363810121643065574041485852148949790, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334037
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334038
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334039
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334040
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334041
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334042
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334043
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334044
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334045
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334046
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334047
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334048
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 11884271830273598553081513585462320904, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334049
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334050
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 11884271830273598553081513585462320904, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334051
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334052
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334053
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334054
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334055
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334056
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334057
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334058
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334059
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334060
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334061
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334062
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334063
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334064
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334065
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334066
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 11884174700922764365223515720252362480, 74280122668324423460508764963345670], 'label': '4096.brc.32._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334067
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 11884174700922764365223515720252362480, 74280122668324423460508764963345670], 'label': '4096.brc.32._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334068
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.32._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334069
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.32._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334070
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334071
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334072
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334073
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334074
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334075
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334076
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334077
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334078
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334079
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334080
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334081
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334082
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334083
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 11884174700922764365223515720252362480, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334084
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 11884174700922764365223515720252362480, 74280122668324423460508764963345670], 'label': '4096.brc.32._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334085
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334086
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334087
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.32._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334088
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 11884271830273598553081513585462320904, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334089
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334090
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 11884271830273598553081513585462320904, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334091
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334092
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334093
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334094
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334095
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334096
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334097
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334098
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334099
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334100
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334101
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334102
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334103
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334104
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334105
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334106
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334107
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334108
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334109
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334110
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334111
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334112
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334113
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334114
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334115
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334116
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334117
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334118
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334119
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 11884174700922764365223515720252362480, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334120
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 11884174700922764365223515720252362480, 74280122668324423460508764963345670], 'label': '4096.brc.32._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334121
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334122
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.32._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334123
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334124
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334125
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334126
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334127
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334128
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334129
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334130
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334131
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334132
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334133
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334134
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334135
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334136
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334137
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334138
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334139
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334140
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334141
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334142
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334143
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334144
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334145
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334146
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334147
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334148
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 11884271830273598553081513585462320905, 36363783593844268326955552979947253094, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334149
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334150
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334151
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334152
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334153
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334154
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836728, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334155
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334156
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334157
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334158
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334159
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334160
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334161
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334162
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334163
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334164
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334165
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334166
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334167
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334168
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334169
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334170
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334171
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334172
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.32._.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334173
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554335, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334174
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334175
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334176
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334177
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334178
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 11884174700922764365223515720252362480, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334179
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 11884174700922764365223515720252362480, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334180
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334181
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334182
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334183
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334184
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334185
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334186
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334187
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334188
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334189
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334190
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334191
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334192
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334193
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334194
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334195
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334196
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334197
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334198
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334199
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334200
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334201
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.32._.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334202
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334203
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334204
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334205
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.32._.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334206
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334207
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334208
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334209
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334210
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334211
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334212
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334213
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334214
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334215
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334216
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334217
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334218
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334219
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334220
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334221
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334222
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334223
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334224
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334225
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334226
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334227
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334281
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334228
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334229
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334230
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.32._.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334231
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.32._.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334232
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334233
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334234
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334235
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334236
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.32._.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334237
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334238
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334239
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334240
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334241
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334242
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334243
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334244
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 113213200895686216307188093053754952214, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.32._.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334245
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.32._.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334246
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 1, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.32._.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.US', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.US', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334247
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.32._.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334248
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334249
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334250
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334251
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334252
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334253
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334254
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334255
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.32._.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334256
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165671647006281562722557741957277848, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334257
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744703261588881424433657337377185560, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334258
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 58165600917718213543044160365757469328, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334259
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54744623384069545598428319272980539160, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334260
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165671647006281562722557741957277849, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334261
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744703261588881424433657337377185561, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334262
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 58165600917718213543044160365757469329, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334263
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334264
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54744623384069545598428319272980539161, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334265
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [54218443834092005904105806818509559008, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334266
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109160, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334267
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 54218364253362895069566460241372317368, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334268
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334269
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 54218443834092005904105806818509559009, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334270
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 52639656569749757796971124810025109161, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334271
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334272
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.64._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334273
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [77399117131192719148651882781626686847, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334274
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334275
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641], 'label': '4096.brc.64._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334276
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 77398993044365787011131962116707703647, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334277
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121], 'label': '4096.brc.64._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334278
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 77399117131192719148651882781626686846, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334279
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334285
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334286
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334287
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 73978142158852878763058509407925518006, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334288
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334289
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 73978026907738594244401095812164532886, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334290
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334291
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 47432366352023606817161611472291999664], 'label': '4096.brc.64._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334292
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046, 47432366352023606817161611472291999664], 'label': '4096.brc.64._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334293
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046, 47432366253620463326252359853583907249, 47432366352023606817161611472291999664], 'label': '4096.brc.64._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334294
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249, 47432366352023606817161611472291999664], 'label': '4096.brc.64._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334295
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249], 'label': '4096.brc.64._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334296
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334297
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046, 47432366253620463326252359853583907249], 'label': '4096.brc.64._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334298
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26321379880706499244468693784286315270, 174641361355935057342309483270, 1, 47432357411579268981925024716632795046, 74280122668324423460508764963345670], 'label': '4096.brc.64._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334299
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 26321379880706499244468693784286315270, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334300
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334301
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9376312373635029126729752945248688431, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315271, 106100378013111595289504715054925946334, 74280122668324423460508764963345670], 'label': '4096.brc.64._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334302
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9376312373635029126729752945248688431, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 106100378013111595289504715054925946334, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334303
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 106100378013111595289504715054925946334, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334304
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 9376205970193753802553092642318974855, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334305
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 9376205970193753802553092642318974855, 26321379880706499244468693784286315271, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334306
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315271, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334307
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334308
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334309
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 132202398176852137714520329051186292407, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334310
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398176852137714520329051186292407, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334311
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 132202398176852137714520329051186292407, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334312
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398176852137714520329051186292407, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334318
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334319
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334320
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334321
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334322
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 174641361355935057342309483271, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334323
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334324
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334325
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334326
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334327
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174558964168871012120860315144569, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334328
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334329
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334330
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334331
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202336145210710666236710751841792585], 'label': '4096.brc.64._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334332
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334333
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881], 'label': '4096.brc.64._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334334
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951], 'label': '4096.brc.64._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334335
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 132202336145210710666236710751841792585], 'label': '4096.brc.64._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334336
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334337
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881], 'label': '4096.brc.64._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334338
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 71055350563404538702237888921951], 'label': '4096.brc.64._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334339
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202336145210710666236710751841792585], 'label': '4096.brc.64._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334340
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334341
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334342
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 113213218583104162633761670808069300881], 'label': '4096.brc.64._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334343
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334344
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202336145210710666236710751841792585], 'label': '4096.brc.64._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334351
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334352
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334353
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334354
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334355
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334356
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334357
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334358
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334359
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.64._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334360
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334361
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.64._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334362
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334363
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334364
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334365
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334366
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334367
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334368
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 1, 36363810263198395405619524420446367968, 74280122668324423460508764963345670], 'label': '4096.brc.64._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334369
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334370
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334371
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334372
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334373
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385], 'label': '4096.brc.64._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334374
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334375
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334376
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334377
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 74280122668324423460508764963345670], 'label': '4096.brc.64._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334380
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334381
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334382
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334383
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334384
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334385
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334386
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334387
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334388
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334389
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334390
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334391
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334392
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334393
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334394
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.64._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334395
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334396
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334397
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334398
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334399
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334400
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334401
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334402
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398176852137714520329051186292407, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334403
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398176852137714520329051186292407, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334404
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 132202398176852137714520329051186292407, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334405
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398176852137714520329051186292407, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334406
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 36363783735399598158411963280914554335, 74280122668324423460508764963345670], 'label': '4096.brc.64._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334434
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334407
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334408
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334409
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334410
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334411
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334412
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334413
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334414
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334415
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334416
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334417
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334418
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334419
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334420
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334421
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334422
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334423
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334424
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 74280122668324423460508764963345670], 'label': '4096.brc.64._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334425
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334426
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334427
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334428
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334429
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334430
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334431
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334432
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334433
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334435
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334436
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.64._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334437
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.64._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334438
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334439
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334440
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334441
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334442
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334443
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334444
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300881], 'label': '4096.brc.64._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334445
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334446
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334447
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334448
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334449
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334450
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 132202336145210710666236710751841792584, 74280122668324423460508764963345670], 'label': '4096.brc.64._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334451
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334452
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334453
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334454
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334455
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334456
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334457
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334458
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334459
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202336145210710666236710751841792584, 1, 74280122668324423460508764963345670], 'label': '4096.brc.64._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334460
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.64._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334461
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334488
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884271830273598553081513585462320904, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334462
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334463
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334464
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334465
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.64._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334466
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334467
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334468
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334469
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334470
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334471
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334472
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334473
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334474
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334475
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334476
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334477
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334478
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.64._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334479
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271961358835755705313249118526248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334480
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334481
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 11884174700922764365223515720252362480, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334482
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334483
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884271961358835755705313249118526249, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334484
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334485
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884174700922764365223515720252362481, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334486
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334487
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334489
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334490
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334491
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334492
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 11884174558964168871012120860315144568, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334493
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334494
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334495
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.64._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334496
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 11884271830273598553081513585462320905, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334497
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334498
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.64._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334499
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315271, 106100378013111595289504715054925946334, 74280122668324423460508764963345670], 'label': '4096.brc.64._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334500
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336145210710666236710751841792584, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334501
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357509997923682999236791867923928, 47432366352023606817161611472291999665, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334502
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 47432357509997923682999236791867923928, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334503
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334504
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 47432366352023606817161611472291999664], 'label': '4096.brc.128._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334505
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357411579268981925024716632795047, 26321379880706499244468693784286315270, 47432366352023606817161611472291999664], 'label': '4096.brc.128._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334506
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357411579268981925024716632795047, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334507
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 71055350563404538702237888921951], 'label': '4096.brc.128._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334508
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334509
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249], 'label': '4096.brc.128._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334510
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357509997923682999236791867923928, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249], 'label': '4096.brc.128._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334511
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357509997923682999236791867923928, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334512
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26321379880706499244468693784286315270, 71219087544048799458808261596384, 1, 74280122668324423460508764963345670], 'label': '4096.brc.128._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334513
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100377871556265458048304753958645094, 116905530696917664099149604409321631664], 'label': '4096.brc.128._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334514
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100377871556265458048304753958645094, 26321379880706499244468693784286315271, 116905530696917664099149604409321631664], 'label': '4096.brc.128._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334515
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315271, 116905530696917664099149604409321631664], 'label': '4096.brc.128._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334516
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 116905530696917664099149604409321631664], 'label': '4096.brc.128._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334517
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432366352023606817161611472291999664], 'label': '4096.brc.128._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334518
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249, 47432366352023606817161611472291999664], 'label': '4096.brc.128._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334519
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334520
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249], 'label': '4096.brc.128._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334521
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26321379880706499244468693784286315270, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.128._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334522
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432366352023606817161611472291999665, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334523
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432366352023606817161611472291999665, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.128._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334524
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.128._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334525
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334526
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 47432366352023606817161611472291999664], 'label': '4096.brc.128._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334527
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046, 47432366352023606817161611472291999664], 'label': '4096.brc.128._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334528
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.128._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334529
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334530
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334531
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249], 'label': '4096.brc.128._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334532
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046, 47432366253620463326252359853583907249], 'label': '4096.brc.128._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334533
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.128._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334534
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334535
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202336145210710666236710751841792585], 'label': '4096.brc.128._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334536
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363810121643065574041485852148949791, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334537
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213218583104162633761670808069300881], 'label': '4096.brc.128._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334538
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334539
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951], 'label': '4096.brc.128._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334540
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334541
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 71219087544048799458808261596384, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334542
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810121643065574041485852148949790], 'label': '4096.brc.128._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334543
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334544
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 9376312373635029126729752945248688430, 106100378013111595289504715054925946334], 'label': '4096.brc.128._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334545
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 106100378013111595289504715054925946334], 'label': '4096.brc.128._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334546
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 9376205970193753802553092642318974854, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334547
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530934, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334548
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9376312373635029126729752945248688431, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100378013111595289504715054925946334], 'label': '4096.brc.128._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334552
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334553
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202336286766660946094851926488115295], 'label': '4096.brc.128._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334554
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363810263198395405619524420446367969], 'label': '4096.brc.128._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334555
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [113213218725078914511879632163040493671, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334556
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385], 'label': '4096.brc.128._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334557
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334558
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774], 'label': '4096.brc.128._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334559
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398176852137714520329051186292407, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334560
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334561
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334562
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100378013111595289504715054925946334], 'label': '4096.brc.128._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334563
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334564
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213201037645456975390727307235691801, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334565
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334566
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315271, 106100378013111595289504715054925946334], 'label': '4096.brc.128._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334567
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315271, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334568
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202336286766660946094851926488115294, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334569
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363810263198395405619524420446367968, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334570
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218725078914511879632163040493670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334571
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334572
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783593844268326955552979947253094], 'label': '4096.brc.128._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334573
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 132202398035280676224618874419137646775, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334574
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334575
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334576
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [132202398176852137714520329051186292406, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334577
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334578
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.128._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334579
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214], 'label': '4096.brc.128._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334580
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800], 'label': '4096.brc.128._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334586
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334587
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.256._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334588
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 71055350563404538702237888921950, 74280122668324423460508764963345671], 'label': '4096.brc.256._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334589
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 74280122668324423460508764963345671, 74342324559525133907797064680021344], 'label': '4096.brc.256._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334590
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 74342324559525133907797064680021344], 'label': '4096.brc.256._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334591
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 71055350563404538702237888921950], 'label': '4096.brc.256._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334592
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357509997923682999236791867923929, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334593
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71219087544048799458808261596385], 'label': '4096.brc.256._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334594
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [106100377871556265458048304753958645095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 116905530696917664099149604409321631664], 'label': '4096.brc.256._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334595
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36363783735399598158411963280914554335, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 116905530696917664099149604409321631664], 'label': '4096.brc.256._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334596
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432366352023606817161611472291999665, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334597
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334598
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334599
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357509997923682999236791867923928, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334600
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71219087544048799458808261596384, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334601
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100377871556265458048304753958645094, 116905530696917664099149604409321631664], 'label': '4096.brc.256._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334602
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 116905530696917664099149604409321631664], 'label': '4096.brc.256._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334603
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432366352023606817161611472291999664], 'label': '4096.brc.256._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334604
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483270, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334605
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432357411579268981925024716632795047, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334606
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334607
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334608
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334609
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 71055350563404538702237888921951], 'label': '4096.brc.256._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334610
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783593844268326955552979947253094], 'label': '4096.brc.256._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334611
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.256._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334612
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 106100378013111595289504715054925946335], 'label': '4096.brc.256._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334613
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670], 'label': '4096.brc.256._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334614
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315271, 116905530696917664099149604409321631664], 'label': '4096.brc.256._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334615
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 116905530696917664099149604409321631664], 'label': '4096.brc.256._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334616
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315271], 'label': '4096.brc.256._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334617
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670], 'label': '4096.brc.256._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334618
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 47432366253620463326252359853583907249], 'label': '4096.brc.256._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334619
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334620
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.256._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334621
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345671, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.256._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334622
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47547751345659083150321458368812658649, 26321379880706499244468693784286315270], 'label': '4096.brc.512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334623
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432357411579268981925024716632795047, 26321379880706499244468693784286315270], 'label': '4096.brc.512._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334624
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 74342324559525133907797064680021345], 'label': '4096.brc.512._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334625
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 71055350563404538702237888921951], 'label': '4096.brc.512._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334626
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 116905530696917664099149604409321631665], 'label': '4096.brc.512._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334627
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 47432366253620463326252359853583907249], 'label': '4096.brc.512._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334628
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 74280122668324423460508764963345671], 'label': '4096.brc.512._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334629
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 26387162448578248006173980534073235200], 'label': '4096.brc.512._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334630
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334631
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345671, 26321379880706499244468693784286315270], 'label': '4096.brc.512._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334632
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 26321379880706499244468693784286315270], 'label': '4096.brc.512._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334633
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315271], 'label': '4096.brc.512._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334634
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26321379880706499244468693784286315270, 47432357411579268981925024716632795046], 'label': '4096.brc.512._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334635
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 74342324559525133907797064680021344], 'label': '4096.brc.512._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334636
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670], 'label': '4096.brc.512._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334637
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200, 71055350563404538702237888921950], 'label': '4096.brc.512._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334638
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 116905530696917664099149604409321631664], 'label': '4096.brc.512._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334639
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670], 'label': '4096.brc.512._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334640
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270], 'label': '4096.brc.512._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334641
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334642
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47547751345659083150321458368812658648, 26321379880706499244468693784286315270], 'label': '4096.brc.512._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334643
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235201], 'label': '4096.brc.1024._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334644
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26321379880706499244468693784286315271], 'label': '4096.brc.1024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334645
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26387162448578248006173980534073235200], 'label': '4096.brc.1024._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334646
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 28492209290039175915274264770387075270], 'label': '4096.brc.1024._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334647
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 26321379880706499244468693784286315270], 'label': '4096.brc.1024._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334648
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345670], 'label': '4096.brc.1024._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334649
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 74280122668324423460508764963345671], 'label': '4096.brc.1024._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334650
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075271], 'label': '4096.brc.2048._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334651
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1], 'label': '4096.brc.2048._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334652
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334653
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270], 'label': '4096.brc.2048._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334654
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': '4096.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '4096.brc.4096.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334655
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334656
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334657
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334658
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334659
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334660
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334661
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334662
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334663
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334664
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334665
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 54744623384069545598428319272980539161, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334666
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334667
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334668
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334669
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334670
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334671
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334672
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334673
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334674
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334675
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334676
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334677
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334678
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334679
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334680
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334681
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334682
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334683
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908601, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334684
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334685
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334686
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908601, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334687
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334688
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334689
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334690
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334691
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334692
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334693
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334694
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334695
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334696
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334697
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334698
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334699
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334700
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334701
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334702
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334703
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334704
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334705
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334706
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334707
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334708
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334709
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334710
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334711
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334712
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334713
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334714
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334715
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334716
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334717
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334718
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334719
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334720
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334721
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334722
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.4._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334723
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334724
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334725
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334726
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334727
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334728
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334729
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334730
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334731
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71083702592735669325934316206792432200, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334732
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334733
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334734
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334735
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334736
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 75030550203927937009995193795256556384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334737
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334738
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334739
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334740
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334741
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334742
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334743
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334744
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 71055350563404538702237888921950, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334745
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334746
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334747
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334748
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334749
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334750
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 8718104464832911061957567148975530935, 71219087544048799458808261596384, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334751
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334752
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334753
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334754
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048146390259000874125134278795853230, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334755
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334756
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334757
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334758
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 174641361355935057342309483271, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334759
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334760
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334761
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334762
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334763
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334764
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334765
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334766
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334767
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334768
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334769
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334770
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334771
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334772
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334773
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334774
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334775
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334776
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334777
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334778
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334779
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334780
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334781
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334782
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.RZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.RZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334783
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334784
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334785
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 71219087544048799458808261596384, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334786
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334787
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334788
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334789
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334790
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334791
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334792
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 71083702592735669325934316206792432200, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334793
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334794
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334795
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334796
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334797
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334798
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334799
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334800
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334801
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334802
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334803
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334804
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334805
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334806
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334807
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334808
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334809
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334810
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.SZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.SZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334811
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334812
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334813
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334814
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334815
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334816
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 52639576685373226183789923417325327920, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334817
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334818
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334819
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334820
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334821
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334822
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334823
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334824
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334825
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334826
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334827
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334828
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334829
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334830
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334831
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334832
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334833
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334834
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334835
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334836
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334837
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334838
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327920, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334839
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.TZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.TZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334840
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334841
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334842
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334843
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334844
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334845
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334846
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334847
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334848
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334849
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334850
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334851
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334852
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334853
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334854
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334855
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 52639576685373226183789923417325327920, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 71055350563404538702237888921951, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334856
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334857
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334858
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334859
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334860
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334861
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.US', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.US', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334862
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334863
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334864
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334865
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 8718210873487196214396778488748246830, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334866
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334867
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334868
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334869
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.UZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.UZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334870
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334871
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334872
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334873
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334874
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334875
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334876
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334877
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334878
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334879
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334880
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334881
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334882
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 174641361355935057342309483270, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.VL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334883
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334884
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334885
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334886
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334887
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334888
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334889
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334890
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334891
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334892
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728145, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334893
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334894
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334895
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334896
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334897
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.4._.VZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.VZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.VZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334898
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334899
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.WB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334900
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853231, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334901
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.2._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334902
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334903
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334904
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334905
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334906
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334907
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334908
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334909
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334910
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334911
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 71219087544048799458808261596384, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334912
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334913
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334914
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334915
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334916
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334917
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 71219087544048799458808261596385, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.WR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334918
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 71219087544048799458808261596385, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334919
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334920
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334921
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334922
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334923
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334924
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334925
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334926
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.WZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.WZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.WZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334927
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334928
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334929
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334930
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334931
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334932
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334933
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334934
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334935
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334936
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334937
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334938
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334939
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334940
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [52639656569749757796971124810025109161, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334941
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334942
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334943
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334944
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334945
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334946
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.XR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334947
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334948
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334949
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 52639656569749757796971124810025109161, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334950
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.XV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334951
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334952
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334953
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334954
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.XZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.XZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.XZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334955
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334956
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334957
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334958
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 71083702592735669325934316206792432200, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334959
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334960
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334961
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334962
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334963
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334964
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334965
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334966
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 71083702592735669325934316206792432200, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334967
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334968
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334969
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334970
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334971
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334972
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334973
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334974
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334975
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334976
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334977
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334978
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684598960516290573255059078743908600, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334979
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334980
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334981
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 174641361355935057342309483271, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.YW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334982
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334983
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334984
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.YZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.YZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.YZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334985
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334986
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334987
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334988
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334989
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334990
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334991
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334992
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334993
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334994
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334995
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334996
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334997
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334998
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211334999
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335000
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335001
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335002
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 11884174558964168871012120860315144569, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335003
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 11884174558964168871012120860315144569, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335004
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335005
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335006
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 35048128702608359367206639339395083600, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335007
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335008
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335009
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335010
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 35048128702608359367206639339395083600, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335011
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335012
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335013
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.ZZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ZZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ZZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335014
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335015
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 35048128702608359367206639339395083600, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335016
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335017
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335018
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335019
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 35048128702608359367206639339395083600, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335020
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335021
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 174641361355935057342309483270, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335022
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 174641361355935057342309483270, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335023
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335024
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 174641361355935057342309483270, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335025
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 174641361355935057342309483270, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335026
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335027
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335028
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 52639576685373226183789923417325327921, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335029
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 113213200895686216307188093053754952215, 174641361355935057342309483270, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335030
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335031
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335032
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335033
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335034
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335035
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 35048128702608359367206639339395083600, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.4._.BAT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335036
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335037
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335038
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335039
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335040
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335041
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BAZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BAZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BAZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335042
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335043
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335044
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335045
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335046
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335047
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335048
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335049
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335050
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335051
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335052
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335053
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335054
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335055
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335056
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335057
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335058
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 79824729473780396888661568829358162144, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335059
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 174641361355935057342309483270, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335060
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 79824729473780396888661568829358162144, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335061
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213200895686216307188093053754952215, 174641361355935057342309483270, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335062
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 79824729473780396888661568829358162144, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335063
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 174641361355935057342309483270, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335064
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 79824729473780396888661568829358162144, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335065
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213201037645456975390727307235691800, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335066
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 79824729473780396888661568829358162144, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335067
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 60919304756752222874930299951174579975, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335068
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213201037645456975390727307235691800, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335069
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 79824729473780396888661568829358162144, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335070
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BBZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BBZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BBZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335071
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 79824729473780396888661568829358162144, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335072
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335073
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 79824729473780396888661568829358162144, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335074
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335075
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335076
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335077
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335078
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335079
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335080
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335081
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335082
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335083
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335084
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335085
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 174641361355935057342309483270, 11884174558964168871012120860315144569, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335086
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 11884174558964168871012120860315144569, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335087
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 174641361355935057342309483270, 11884174558964168871012120860315144569, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335088
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335089
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335090
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335091
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335092
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 113213218583104162633761670808069300880, 36363783593844268326955552979947253094, 113213200895686216307188093053754952215, 113213201037645456975390727307235691800, 11884174558964168871012120860315144569, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BCS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BCS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BCS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335093
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335094
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335095
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 54218364253362895069566460241372317369, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335096
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335097
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774], 'label': '4096.brc.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335098
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213218583104162633761670808069300880, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335099
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 113213201037645456975390727307235691800, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335100
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 71055350563404538702237888921950, 26321379880706499244468693784286315270, 113213201037645456975390727307235691800, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335101
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335102
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335103
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335104
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 113213200895686216307188093053754952215, 174641361355935057342309483270, 74280122668324423460508764963345670], 'label': '4096.brc.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335105
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 113213200895686216307188093053754952215, 71055350563404538702237888921950, 174641361355935057342309483270, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 52639576685373226183789923417325327921], 'label': '4096.brc.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335106
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 54218364253362895069566460241372317369, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335107
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 113213218583104162633761670808069300880, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335108
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 132202398035280676224618874419137646774, 54218364253362895069566460241372317369, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335109
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 132202398035280676224618874419137646774, 174641361355935057342309483270, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335110
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335111
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 36363783593844268326955552979947253095, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335112
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335113
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335114
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335115
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335116
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 1, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 36363783735399598158411963280914554334, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790], 'label': '4096.brc.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335117
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335118
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783735399598158411963280914554334, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335119
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335120
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335121
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335122
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253095, 174641361355935057342309483270, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335123
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335124
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 36363810121643065574041485852148949790, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335125
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 36363810121643065574041485852148949790, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335126
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 73978026907738594244401095812164532886, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335127
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335128
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335129
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 18684598960516290573255059078743908601, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335130
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335131
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335132
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335133
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335134
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335135
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335136
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210949709308270433269296131885688, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335137
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335138
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335139
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335140
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335141
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335142
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335143
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335144
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335145
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 1, 35048146390259000874125134278795853230, 74280122668324423460508764963345670], 'label': '4096.brc.4._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335146
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335147
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335148
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335149
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335150
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335151
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335152
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375504762374349456093013775914671, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335153
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375504762374349456093013775914671, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335154
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335155
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335156
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335157
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335158
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335159
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304756752222874930299951174579975, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335160
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335161
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335162
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579975, 18684501697116904686045519673583349120, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335163
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335164
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335165
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335166
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335167
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 35048146390259000874125134278795853230, 35048128702608359367206639339395083601, 74280122668324423460508764963345670], 'label': '4096.brc.4._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335168
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335169
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335170
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335171
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335172
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335173
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335174
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335175
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335176
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335177
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335178
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335179
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335180
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [60919375504762374349456093013775914670, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335181
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335182
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335183
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335184
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335185
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335186
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335187
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335188
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718210949709308270433269296131885689, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335189
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579975, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.2._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335190
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335191
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335192
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335193
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335194
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335195
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335196
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335197
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 8718104530569445077611391228438711535, 74280122668324423460508764963345670], 'label': '4096.brc.8._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335198
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 8718104530569445077611391228438711535, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335199
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335200
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335201
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335202
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335203
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335204
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335205
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335206
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335207
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718210873487196214396778488748246830, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335208
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335209
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335210
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335211
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335212
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 174641361355935057342309483271, 36363783593844268326955552979947253094, 71219087544048799458808261596384, 113213200895686216307188093053754952214, 35048128702608359367206639339395083600, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335213
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335214
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335215
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335216
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335217
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335218
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335219
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335220
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 60919375580984486354401288663514836729, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335221
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335222
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335223
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335224
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335225
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375580984486354401288663514836729, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335226
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335227
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335228
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335229
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335230
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335231
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335232
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530934, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 60919304844282007052554745909588355295, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335233
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 8718104464832911061957567148975530934, 113213200895686216307188093053754952214, 60919304844282007052554745909588355295, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335234
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 71055350563404538702237888921951, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335235
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335236
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335237
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335238
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335239
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335240
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335241
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304844282007052554745909588355294, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335242
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304844282007052554745909588355294, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335243
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 18684598960516290573255059078743908600, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335244
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335245
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 35048128702608359367206639339395083600, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335246
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335247
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335248
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335249
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 22894869491614319065869485301200898120, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335250
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 18684501697116904686045519673583349121, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335251
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526305, 18684501697116904686045519673583349120, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335252
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335253
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335254
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335255
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335256
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335257
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335258
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 8718210873487196214396778488748246831, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335259
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335260
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 8718210873487196214396778488748246831, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335261
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 18684598960516290573255059078743908601, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335262
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349121, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335263
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335264
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335265
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35048128844567599986744878412211566151, 47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 22894957905992413153101539725346831640, 8718104464832911061957567148975530935, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335266
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335267
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 71083578499626673512111618372673728144, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335268
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335269
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8718104464832911061957567148975530935, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566151, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335270
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335271
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335272
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335273
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335274
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335275
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335276
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335277
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 60919304756752222874930299951174579974, 18684501697116904686045519673583349120, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335278
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 52639576685373226183789923417325327921, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335279
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335280
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908601, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335281
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335282
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335283
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335284
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335285
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335286
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 18684501697116904686045519673583349120, 60919375504762374349456093013775914670, 74280122668324423460508764963345670], 'label': '4096.brc.8._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335287
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335288
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684598960516290573255059078743908601, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335289
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [156882906959153483993858125939631807425, 71055350563404538702237888921950, 28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 174641361355935057342309483270, 113213200895686216307188093053754952214, 1, 74280122668324423460508764963345670], 'label': '4096.brc.4._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335290
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 35048146532233752703591414520164526304, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335291
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335292
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 18684598960516290573255059078743908600, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335293
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894957905992413153101539725346831640, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335294
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 26321379880706499244468693784286315270, 22894869491614319065869485301200898120, 36363783593844268326955552979947253094, 35048146532233752703591414520164526304, 113213200895686216307188093053754952214, 74280122668324423460508764963345670, 8718104530569445077611391228438711534], 'label': '4096.brc.8._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335295
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 35048146532233752703591414520164526304, 18684501697116904686045519673583349120, 8718104530569445077611391228438711534, 26321379880706499244468693784286315270, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335296
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 18684598960516290573255059078743908601, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335297
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 18684501697116904686045519673583349121, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335298
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47432366253620463326252359853583907248, 28492209290039175915274264770387075270, 74280122668324423460508764963345670, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 22894957905992413153101539725346831641, 36363783593844268326955552979947253094], 'label': '4096.brc.8._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211335299
    {'ambient': '4096.brc', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28492209290039175915274264770387075270, 47432366253620463326252359853583907248, 60919304756752222874930299951174579974, 26321379880706499244468693784286315270, 22894869491614319065869485301200898121, 36363783593844268326955552979947253094, 35048128844567599986744878412211566150, 113213200895686216307188093053754952214, 74280122668324423460508764963345670], 'label': '4096.brc.8._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HF', 'subgroup_fusion': None, 'weyl_group': None}